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Finding the Fourth Proportional to 3,658.61, 5,049.56 and 2,166.59

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Solution

The fourth proportional to 3,658.61, 5,049.56 and 2,166.59 is: 2,990.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.61 : 5,049.56 = 2,166.59 : x
  2. Step 2: Convert to fraction form
    3,658.61/5,049.56 = 2,166.59/x
  3. Step 3: Cross multiply
    3,658.61x = 5,049.56 × 2,166.59
  4. Step 4: Simplify right side
    3,658.61x = 10,940,344.24
  5. Step 5: Solve for x
    x = 10,940,344.24/3,658.61
  6. Step 6: Final answer
    x = 2,990.30

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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.