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Finding the Fourth Proportional to 3,657.55, 5,487.15 and 1,708.69

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Solution

The fourth proportional to 3,657.55, 5,487.15 and 1,708.69 is: 2,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.55 : 5,487.15 = 1,708.69 : x
  2. Step 2: Convert to fraction form
    3,657.55/5,487.15 = 1,708.69/x
  3. Step 3: Cross multiply
    3,657.55x = 5,487.15 × 1,708.69
  4. Step 4: Simplify right side
    3,657.55x = 9,375,838.33
  5. Step 5: Solve for x
    x = 9,375,838.33/3,657.55
  6. Step 6: Final answer
    x = 2,563.42

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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.