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Finding the Fourth Proportional to 4,902.40, 6,753.81 and 4,013.02

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Solution

The fourth proportional to 4,902.40, 6,753.81 and 4,013.02 is: 5,528.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.40 : 6,753.81 = 4,013.02 : x
  2. Step 2: Convert to fraction form
    4,902.40/6,753.81 = 4,013.02/x
  3. Step 3: Cross multiply
    4,902.40x = 6,753.81 × 4,013.02
  4. Step 4: Simplify right side
    4,902.40x = 27,103,174.61
  5. Step 5: Solve for x
    x = 27,103,174.61/4,902.40
  6. Step 6: Final answer
    x = 5,528.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.