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Finding the Fourth Proportional to 3,487.42, 5,229.65 and 1,406.86

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Solution

The fourth proportional to 3,487.42, 5,229.65 and 1,406.86 is: 2,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.42 : 5,229.65 = 1,406.86 : x
  2. Step 2: Convert to fraction form
    3,487.42/5,229.65 = 1,406.86/x
  3. Step 3: Cross multiply
    3,487.42x = 5,229.65 × 1,406.86
  4. Step 4: Simplify right side
    3,487.42x = 7,357,385.40
  5. Step 5: Solve for x
    x = 7,357,385.40/3,487.42
  6. Step 6: Final answer
    x = 2,109.69

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