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Finding the Fourth Proportional to 4,691.52, 7,036.74 and 1,229.04

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Solution

The fourth proportional to 4,691.52, 7,036.74 and 1,229.04 is: 1,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.52 : 7,036.74 = 1,229.04 : x
  2. Step 2: Convert to fraction form
    4,691.52/7,036.74 = 1,229.04/x
  3. Step 3: Cross multiply
    4,691.52x = 7,036.74 × 1,229.04
  4. Step 4: Simplify right side
    4,691.52x = 8,648,434.93
  5. Step 5: Solve for x
    x = 8,648,434.93/4,691.52
  6. Step 6: Final answer
    x = 1,843.42

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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.