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Finding the Fourth Proportional to 3,752.92, 5,629.22 and 1,254.20

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Solution

The fourth proportional to 3,752.92, 5,629.22 and 1,254.20 is: 1,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.92 : 5,629.22 = 1,254.20 : x
  2. Step 2: Convert to fraction form
    3,752.92/5,629.22 = 1,254.20/x
  3. Step 3: Cross multiply
    3,752.92x = 5,629.22 × 1,254.20
  4. Step 4: Simplify right side
    3,752.92x = 7,060,167.72
  5. Step 5: Solve for x
    x = 7,060,167.72/3,752.92
  6. Step 6: Final answer
    x = 1,881.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.