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Finding the Fourth Proportional to 3,911.62, 5,397.34 and 2,232.76

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Solution

The fourth proportional to 3,911.62, 5,397.34 and 2,232.76 is: 3,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.62 : 5,397.34 = 2,232.76 : x
  2. Step 2: Convert to fraction form
    3,911.62/5,397.34 = 2,232.76/x
  3. Step 3: Cross multiply
    3,911.62x = 5,397.34 × 2,232.76
  4. Step 4: Simplify right side
    3,911.62x = 12,050,964.86
  5. Step 5: Solve for x
    x = 12,050,964.86/3,911.62
  6. Step 6: Final answer
    x = 3,080.81

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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.