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Finding the Fourth Proportional to 3,493.69, 5,241.89 and 1,545.91

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Solution

The fourth proportional to 3,493.69, 5,241.89 and 1,545.91 is: 2,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.69 : 5,241.89 = 1,545.91 : x
  2. Step 2: Convert to fraction form
    3,493.69/5,241.89 = 1,545.91/x
  3. Step 3: Cross multiply
    3,493.69x = 5,241.89 × 1,545.91
  4. Step 4: Simplify right side
    3,493.69x = 8,103,490.17
  5. Step 5: Solve for x
    x = 8,103,490.17/3,493.69
  6. Step 6: Final answer
    x = 2,319.46

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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.