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Finding the Fourth Proportional to 4,141.12, 6,204.72 and 3,988

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Solution

The fourth proportional to 4,141.12, 6,204.72 and 3,988 is: 5,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.12 : 6,204.72 = 3,988 : x
  2. Step 2: Convert to fraction form
    4,141.12/6,204.72 = 3,988/x
  3. Step 3: Cross multiply
    4,141.12x = 6,204.72 × 3,988
  4. Step 4: Simplify right side
    4,141.12x = 24,744,423.36
  5. Step 5: Solve for x
    x = 24,744,423.36/4,141.12
  6. Step 6: Final answer
    x = 5,975.30

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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.