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Finding the Fourth Proportional to 3,244.59, 4,472.87 and 2,311.47

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Solution

The fourth proportional to 3,244.59, 4,472.87 and 2,311.47 is: 3,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.59 : 4,472.87 = 2,311.47 : x
  2. Step 2: Convert to fraction form
    3,244.59/4,472.87 = 2,311.47/x
  3. Step 3: Cross multiply
    3,244.59x = 4,472.87 × 2,311.47
  4. Step 4: Simplify right side
    3,244.59x = 10,338,904.82
  5. Step 5: Solve for x
    x = 10,338,904.82/3,244.59
  6. Step 6: Final answer
    x = 3,186.51

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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.