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Finding the Fourth Proportional to 5,741.50, 8,612.26 and 1,637.50

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Solution

The fourth proportional to 5,741.50, 8,612.26 and 1,637.50 is: 2,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.50 : 8,612.26 = 1,637.50 : x
  2. Step 2: Convert to fraction form
    5,741.50/8,612.26 = 1,637.50/x
  3. Step 3: Cross multiply
    5,741.50x = 8,612.26 × 1,637.50
  4. Step 4: Simplify right side
    5,741.50x = 14,102,575.75
  5. Step 5: Solve for x
    x = 14,102,575.75/5,741.50
  6. Step 6: Final answer
    x = 2,456.25

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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.