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Finding the Fourth Proportional to 3,663.61, 5,049.87 and 2,865.52

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Solution

The fourth proportional to 3,663.61, 5,049.87 and 2,865.52 is: 3,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.61 : 5,049.87 = 2,865.52 : x
  2. Step 2: Convert to fraction form
    3,663.61/5,049.87 = 2,865.52/x
  3. Step 3: Cross multiply
    3,663.61x = 5,049.87 × 2,865.52
  4. Step 4: Simplify right side
    3,663.61x = 14,470,503.48
  5. Step 5: Solve for x
    x = 14,470,503.48/3,663.61
  6. Step 6: Final answer
    x = 3,949.79

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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.