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Finding the Fourth Proportional to 2,937.92, 4,047.68 and 2,272.48

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Solution

The fourth proportional to 2,937.92, 4,047.68 and 2,272.48 is: 3,130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.92 : 4,047.68 = 2,272.48 : x
  2. Step 2: Convert to fraction form
    2,937.92/4,047.68 = 2,272.48/x
  3. Step 3: Cross multiply
    2,937.92x = 4,047.68 × 2,272.48
  4. Step 4: Simplify right side
    2,937.92x = 9,198,271.85
  5. Step 5: Solve for x
    x = 9,198,271.85/2,937.92
  6. Step 6: Final answer
    x = 3,130.88

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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.