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Finding the Fourth Proportional to 5,707.73, 7,876.14 and 3,349.42

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Solution

The fourth proportional to 5,707.73, 7,876.14 and 3,349.42 is: 4,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.73 : 7,876.14 = 3,349.42 : x
  2. Step 2: Convert to fraction form
    5,707.73/7,876.14 = 3,349.42/x
  3. Step 3: Cross multiply
    5,707.73x = 7,876.14 × 3,349.42
  4. Step 4: Simplify right side
    5,707.73x = 26,380,468.59
  5. Step 5: Solve for x
    x = 26,380,468.59/5,707.73
  6. Step 6: Final answer
    x = 4,621.88

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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.