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Finding the Fourth Proportional to 5,710.92, 7,882.08 and 3,354.42

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Solution

The fourth proportional to 5,710.92, 7,882.08 and 3,354.42 is: 4,629.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.92 : 7,882.08 = 3,354.42 : x
  2. Step 2: Convert to fraction form
    5,710.92/7,882.08 = 3,354.42/x
  3. Step 3: Cross multiply
    5,710.92x = 7,882.08 × 3,354.42
  4. Step 4: Simplify right side
    5,710.92x = 26,439,806.79
  5. Step 5: Solve for x
    x = 26,439,806.79/5,710.92
  6. Step 6: Final answer
    x = 4,629.69

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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.