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Finding the Fourth Proportional to 3,657.71, 5,487.25 and 1,466.61

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Solution

The fourth proportional to 3,657.71, 5,487.25 and 1,466.61 is: 2,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.71 : 5,487.25 = 1,466.61 : x
  2. Step 2: Convert to fraction form
    3,657.71/5,487.25 = 1,466.61/x
  3. Step 3: Cross multiply
    3,657.71x = 5,487.25 × 1,466.61
  4. Step 4: Simplify right side
    3,657.71x = 8,047,652.06
  5. Step 5: Solve for x
    x = 8,047,652.06/3,657.71
  6. Step 6: Final answer
    x = 2,200.19

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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.