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Finding the Fourth Proportional to 4,902.72, 7,348.24 and 2,266.53

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Solution

The fourth proportional to 4,902.72, 7,348.24 and 2,266.53 is: 3,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.72 : 7,348.24 = 2,266.53 : x
  2. Step 2: Convert to fraction form
    4,902.72/7,348.24 = 2,266.53/x
  3. Step 3: Cross multiply
    4,902.72x = 7,348.24 × 2,266.53
  4. Step 4: Simplify right side
    4,902.72x = 16,655,023.02
  5. Step 5: Solve for x
    x = 16,655,023.02/4,902.72
  6. Step 6: Final answer
    x = 3,397.10

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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.