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Finding the Fourth Proportional to 5,203.48, 7,805.22 and 1,741

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Solution

The fourth proportional to 5,203.48, 7,805.22 and 1,741 is: 2,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.48 : 7,805.22 = 1,741 : x
  2. Step 2: Convert to fraction form
    5,203.48/7,805.22 = 1,741/x
  3. Step 3: Cross multiply
    5,203.48x = 7,805.22 × 1,741
  4. Step 4: Simplify right side
    5,203.48x = 13,588,888.02
  5. Step 5: Solve for x
    x = 13,588,888.02/5,203.48
  6. Step 6: Final answer
    x = 2,611.50

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.