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Finding the Fourth Proportional to 3,605.28, 4,972.70 and 2,344

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Solution

The fourth proportional to 3,605.28, 4,972.70 and 2,344 is: 3,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.28 : 4,972.70 = 2,344 : x
  2. Step 2: Convert to fraction form
    3,605.28/4,972.70 = 2,344/x
  3. Step 3: Cross multiply
    3,605.28x = 4,972.70 × 2,344
  4. Step 4: Simplify right side
    3,605.28x = 11,656,008.80
  5. Step 5: Solve for x
    x = 11,656,008.80/3,605.28
  6. Step 6: Final answer
    x = 3,233.04

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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.