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Finding the Fourth Proportional to 3,884.61, 5,829.30 and 1,545.75

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Solution

The fourth proportional to 3,884.61, 5,829.30 and 1,545.75 is: 2,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.61 : 5,829.30 = 1,545.75 : x
  2. Step 2: Convert to fraction form
    3,884.61/5,829.30 = 1,545.75/x
  3. Step 3: Cross multiply
    3,884.61x = 5,829.30 × 1,545.75
  4. Step 4: Simplify right side
    3,884.61x = 9,010,640.48
  5. Step 5: Solve for x
    x = 9,010,640.48/3,884.61
  6. Step 6: Final answer
    x = 2,319.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.