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Finding the Fourth Proportional to 3,402.52, 5,105.24 and 1,428.65

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Solution

The fourth proportional to 3,402.52, 5,105.24 and 1,428.65 is: 2,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.52 : 5,105.24 = 1,428.65 : x
  2. Step 2: Convert to fraction form
    3,402.52/5,105.24 = 1,428.65/x
  3. Step 3: Cross multiply
    3,402.52x = 5,105.24 × 1,428.65
  4. Step 4: Simplify right side
    3,402.52x = 7,293,629.71
  5. Step 5: Solve for x
    x = 7,293,629.71/3,402.52
  6. Step 6: Final answer
    x = 2,143.59

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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.