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Finding the Fourth Proportional to 3,866.76, 5,332.10 and 2,294.55

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Solution

The fourth proportional to 3,866.76, 5,332.10 and 2,294.55 is: 3,164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.76 : 5,332.10 = 2,294.55 : x
  2. Step 2: Convert to fraction form
    3,866.76/5,332.10 = 2,294.55/x
  3. Step 3: Cross multiply
    3,866.76x = 5,332.10 × 2,294.55
  4. Step 4: Simplify right side
    3,866.76x = 12,234,758.58
  5. Step 5: Solve for x
    x = 12,234,758.58/3,866.76
  6. Step 6: Final answer
    x = 3,164.09

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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.