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Finding the Fourth Proportional to 5,324.52, 7,985.68 and 1,428

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Solution

The fourth proportional to 5,324.52, 7,985.68 and 1,428 is: 2,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.52 : 7,985.68 = 1,428 : x
  2. Step 2: Convert to fraction form
    5,324.52/7,985.68 = 1,428/x
  3. Step 3: Cross multiply
    5,324.52x = 7,985.68 × 1,428
  4. Step 4: Simplify right side
    5,324.52x = 11,403,551.04
  5. Step 5: Solve for x
    x = 11,403,551.04/5,324.52
  6. Step 6: Final answer
    x = 2,141.70

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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.