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Finding the Fourth Proportional to 5,691.69, 7,854.57 and 3,333.85

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Solution

The fourth proportional to 5,691.69, 7,854.57 and 3,333.85 is: 4,600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.69 : 7,854.57 = 3,333.85 : x
  2. Step 2: Convert to fraction form
    5,691.69/7,854.57 = 3,333.85/x
  3. Step 3: Cross multiply
    5,691.69x = 7,854.57 × 3,333.85
  4. Step 4: Simplify right side
    5,691.69x = 26,185,938.56
  5. Step 5: Solve for x
    x = 26,185,938.56/5,691.69
  6. Step 6: Final answer
    x = 4,600.73

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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.