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Finding the Fourth Proportional to 5,233.32, 7,849.17 and 3,397.46

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Solution

The fourth proportional to 5,233.32, 7,849.17 and 3,397.46 is: 5,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.32 : 7,849.17 = 3,397.46 : x
  2. Step 2: Convert to fraction form
    5,233.32/7,849.17 = 3,397.46/x
  3. Step 3: Cross multiply
    5,233.32x = 7,849.17 × 3,397.46
  4. Step 4: Simplify right side
    5,233.32x = 26,667,201.86
  5. Step 5: Solve for x
    x = 26,667,201.86/5,233.32
  6. Step 6: Final answer
    x = 5,095.66

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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.