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Finding the Fourth Proportional to 3,580.83, 5,371.17 and 1,472.00

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Solution

The fourth proportional to 3,580.83, 5,371.17 and 1,472.00 is: 2,207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.83 : 5,371.17 = 1,472.00 : x
  2. Step 2: Convert to fraction form
    3,580.83/5,371.17 = 1,472.00/x
  3. Step 3: Cross multiply
    3,580.83x = 5,371.17 × 1,472.00
  4. Step 4: Simplify right side
    3,580.83x = 7,906,335.38
  5. Step 5: Solve for x
    x = 7,906,335.38/3,580.83
  6. Step 6: Final answer
    x = 2,207.96

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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.