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Finding the Fourth Proportional to 5,306.92, 7,324.41 and 5,166.52

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Solution

The fourth proportional to 5,306.92, 7,324.41 and 5,166.52 is: 7,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.92 : 7,324.41 = 5,166.52 : x
  2. Step 2: Convert to fraction form
    5,306.92/7,324.41 = 5,166.52/x
  3. Step 3: Cross multiply
    5,306.92x = 7,324.41 × 5,166.52
  4. Step 4: Simplify right side
    5,306.92x = 37,841,710.75
  5. Step 5: Solve for x
    x = 37,841,710.75/5,306.92
  6. Step 6: Final answer
    x = 7,130.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.