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Finding the Fourth Proportional to 4,691.66, 6,471.71 and 2,922.92

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Solution

The fourth proportional to 4,691.66, 6,471.71 and 2,922.92 is: 4,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.66 : 6,471.71 = 2,922.92 : x
  2. Step 2: Convert to fraction form
    4,691.66/6,471.71 = 2,922.92/x
  3. Step 3: Cross multiply
    4,691.66x = 6,471.71 × 2,922.92
  4. Step 4: Simplify right side
    4,691.66x = 18,916,290.59
  5. Step 5: Solve for x
    x = 18,916,290.59/4,691.66
  6. Step 6: Final answer
    x = 4,031.90

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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.