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Finding the Fourth Proportional to 4,115.64, 6,171.96 and 1,193.04

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Solution

The fourth proportional to 4,115.64, 6,171.96 and 1,193.04 is: 1,789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.64 : 6,171.96 = 1,193.04 : x
  2. Step 2: Convert to fraction form
    4,115.64/6,171.96 = 1,193.04/x
  3. Step 3: Cross multiply
    4,115.64x = 6,171.96 × 1,193.04
  4. Step 4: Simplify right side
    4,115.64x = 7,363,395.16
  5. Step 5: Solve for x
    x = 7,363,395.16/4,115.64
  6. Step 6: Final answer
    x = 1,789.13

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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.