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Finding the Fourth Proportional to 3,658.81, 5,047.15 and 2,166.43

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Solution

The fourth proportional to 3,658.81, 5,047.15 and 2,166.43 is: 2,988.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.81 : 5,047.15 = 2,166.43 : x
  2. Step 2: Convert to fraction form
    3,658.81/5,047.15 = 2,166.43/x
  3. Step 3: Cross multiply
    3,658.81x = 5,047.15 × 2,166.43
  4. Step 4: Simplify right side
    3,658.81x = 10,934,310.91
  5. Step 5: Solve for x
    x = 10,934,310.91/3,658.81
  6. Step 6: Final answer
    x = 2,988.49

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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.