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Finding the Fourth Proportional to 3,512.47, 4,846.02 and 2,254.20

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Solution

The fourth proportional to 3,512.47, 4,846.02 and 2,254.20 is: 3,110.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.47 : 4,846.02 = 2,254.20 : x
  2. Step 2: Convert to fraction form
    3,512.47/4,846.02 = 2,254.20/x
  3. Step 3: Cross multiply
    3,512.47x = 4,846.02 × 2,254.20
  4. Step 4: Simplify right side
    3,512.47x = 10,923,898.28
  5. Step 5: Solve for x
    x = 10,923,898.28/3,512.47
  6. Step 6: Final answer
    x = 3,110.04

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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.