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Finding the Fourth Proportional to 6,158.20, 9,238.65 and 3,039.70

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Solution

The fourth proportional to 6,158.20, 9,238.65 and 3,039.70 is: 4,560.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.20 : 9,238.65 = 3,039.70 : x
  2. Step 2: Convert to fraction form
    6,158.20/9,238.65 = 3,039.70/x
  3. Step 3: Cross multiply
    6,158.20x = 9,238.65 × 3,039.70
  4. Step 4: Simplify right side
    6,158.20x = 28,082,724.41
  5. Step 5: Solve for x
    x = 28,082,724.41/6,158.20
  6. Step 6: Final answer
    x = 4,560.22

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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.