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Finding the Fourth Proportional to 3,472.64, 5,209.02 and 1,132.66

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Solution

The fourth proportional to 3,472.64, 5,209.02 and 1,132.66 is: 1,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.64 : 5,209.02 = 1,132.66 : x
  2. Step 2: Convert to fraction form
    3,472.64/5,209.02 = 1,132.66/x
  3. Step 3: Cross multiply
    3,472.64x = 5,209.02 × 1,132.66
  4. Step 4: Simplify right side
    3,472.64x = 5,900,048.59
  5. Step 5: Solve for x
    x = 5,900,048.59/3,472.64
  6. Step 6: Final answer
    x = 1,699.01

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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.