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Finding the Fourth Proportional to 6,674.42, 10,013.93 and 2,979.20

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Solution

The fourth proportional to 6,674.42, 10,013.93 and 2,979.20 is: 4,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.42 : 10,013.93 = 2,979.20 : x
  2. Step 2: Convert to fraction form
    6,674.42/10,013.93 = 2,979.20/x
  3. Step 3: Cross multiply
    6,674.42x = 10,013.93 × 2,979.20
  4. Step 4: Simplify right side
    6,674.42x = 29,833,435.29
  5. Step 5: Solve for x
    x = 29,833,435.29/6,674.42
  6. Step 6: Final answer
    x = 4,469.82

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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.