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Finding the Fourth Proportional to 4,244.49, 6,367.17 and 1,471.16

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Solution

The fourth proportional to 4,244.49, 6,367.17 and 1,471.16 is: 2,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,244.49 : 6,367.17 = 1,471.16 : x
  2. Step 2: Convert to fraction form
    4,244.49/6,367.17 = 1,471.16/x
  3. Step 3: Cross multiply
    4,244.49x = 6,367.17 × 1,471.16
  4. Step 4: Simplify right side
    4,244.49x = 9,367,125.82
  5. Step 5: Solve for x
    x = 9,367,125.82/4,244.49
  6. Step 6: Final answer
    x = 2,206.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.