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Finding the Fourth Proportional to 5,146.29, 7,720.29 and 2,224.62

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Solution

The fourth proportional to 5,146.29, 7,720.29 and 2,224.62 is: 3,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.29 : 7,720.29 = 2,224.62 : x
  2. Step 2: Convert to fraction form
    5,146.29/7,720.29 = 2,224.62/x
  3. Step 3: Cross multiply
    5,146.29x = 7,720.29 × 2,224.62
  4. Step 4: Simplify right side
    5,146.29x = 17,174,711.54
  5. Step 5: Solve for x
    x = 17,174,711.54/5,146.29
  6. Step 6: Final answer
    x = 3,337.30

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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.