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Finding the Fourth Proportional to 4,691.32, 7,015.98 and 4,174.36

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Solution

The fourth proportional to 4,691.32, 7,015.98 and 4,174.36 is: 6,242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.32 : 7,015.98 = 4,174.36 : x
  2. Step 2: Convert to fraction form
    4,691.32/7,015.98 = 4,174.36/x
  3. Step 3: Cross multiply
    4,691.32x = 7,015.98 × 4,174.36
  4. Step 4: Simplify right side
    4,691.32x = 29,287,226.27
  5. Step 5: Solve for x
    x = 29,287,226.27/4,691.32
  6. Step 6: Final answer
    x = 6,242.85

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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.