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Finding the Fourth Proportional to 3,867.72, 5,337.12 and 2,295.72

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Solution

The fourth proportional to 3,867.72, 5,337.12 and 2,295.72 is: 3,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.72 : 5,337.12 = 2,295.72 : x
  2. Step 2: Convert to fraction form
    3,867.72/5,337.12 = 2,295.72/x
  3. Step 3: Cross multiply
    3,867.72x = 5,337.12 × 2,295.72
  4. Step 4: Simplify right side
    3,867.72x = 12,252,533.13
  5. Step 5: Solve for x
    x = 12,252,533.13/3,867.72
  6. Step 6: Final answer
    x = 3,167.90

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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.