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Finding the Fourth Proportional to 6,589.60, 9,872.40 and 3,119.20

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Solution

The fourth proportional to 6,589.60, 9,872.40 and 3,119.20 is: 4,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.60 : 9,872.40 = 3,119.20 : x
  2. Step 2: Convert to fraction form
    6,589.60/9,872.40 = 3,119.20/x
  3. Step 3: Cross multiply
    6,589.60x = 9,872.40 × 3,119.20
  4. Step 4: Simplify right side
    6,589.60x = 30,793,990.08
  5. Step 5: Solve for x
    x = 30,793,990.08/6,589.60
  6. Step 6: Final answer
    x = 4,673.12

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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.