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Finding the Fourth Proportional to 5,205.48, 7,808.22 and 1,743

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Solution

The fourth proportional to 5,205.48, 7,808.22 and 1,743 is: 2,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.48 : 7,808.22 = 1,743 : x
  2. Step 2: Convert to fraction form
    5,205.48/7,808.22 = 1,743/x
  3. Step 3: Cross multiply
    5,205.48x = 7,808.22 × 1,743
  4. Step 4: Simplify right side
    5,205.48x = 13,609,727.46
  5. Step 5: Solve for x
    x = 13,609,727.46/5,205.48
  6. Step 6: Final answer
    x = 2,614.50

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Double scale
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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.