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Finding the Fourth Proportional to 6,158.72, 9,241.28 and 2,000

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Solution

The fourth proportional to 6,158.72, 9,241.28 and 2,000 is: 3,001.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.72 : 9,241.28 = 2,000 : x
  2. Step 2: Convert to fraction form
    6,158.72/9,241.28 = 2,000/x
  3. Step 3: Cross multiply
    6,158.72x = 9,241.28 × 2,000
  4. Step 4: Simplify right side
    6,158.72x = 18,482,560
  5. Step 5: Solve for x
    x = 18,482,560/6,158.72
  6. Step 6: Final answer
    x = 3,001.04

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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.