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Finding the Fourth Proportional to 4,839.92, 7,254.46 and 3,374.64

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Solution

The fourth proportional to 4,839.92, 7,254.46 and 3,374.64 is: 5,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.92 : 7,254.46 = 3,374.64 : x
  2. Step 2: Convert to fraction form
    4,839.92/7,254.46 = 3,374.64/x
  3. Step 3: Cross multiply
    4,839.92x = 7,254.46 × 3,374.64
  4. Step 4: Simplify right side
    4,839.92x = 24,481,190.89
  5. Step 5: Solve for x
    x = 24,481,190.89/4,839.92
  6. Step 6: Final answer
    x = 5,058.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.