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Finding the Fourth Proportional to 3,487.36, 5,229.72 and 1,406.83

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Solution

The fourth proportional to 3,487.36, 5,229.72 and 1,406.83 is: 2,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.36 : 5,229.72 = 1,406.83 : x
  2. Step 2: Convert to fraction form
    3,487.36/5,229.72 = 1,406.83/x
  3. Step 3: Cross multiply
    3,487.36x = 5,229.72 × 1,406.83
  4. Step 4: Simplify right side
    3,487.36x = 7,357,313.91
  5. Step 5: Solve for x
    x = 7,357,313.91/3,487.36
  6. Step 6: Final answer
    x = 2,109.71

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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.