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Finding the Fourth Proportional to 4,149.31, 6,224.55 and 1,552

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Solution

The fourth proportional to 4,149.31, 6,224.55 and 1,552 is: 2,328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.31 : 6,224.55 = 1,552 : x
  2. Step 2: Convert to fraction form
    4,149.31/6,224.55 = 1,552/x
  3. Step 3: Cross multiply
    4,149.31x = 6,224.55 × 1,552
  4. Step 4: Simplify right side
    4,149.31x = 9,660,501.60
  5. Step 5: Solve for x
    x = 9,660,501.60/4,149.31
  6. Step 6: Final answer
    x = 2,328.22

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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.