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Finding the Fourth Proportional to 3,151.52, 4,707.04 and 2,283.20

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Solution

The fourth proportional to 3,151.52, 4,707.04 and 2,283.20 is: 3,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.52 : 4,707.04 = 2,283.20 : x
  2. Step 2: Convert to fraction form
    3,151.52/4,707.04 = 2,283.20/x
  3. Step 3: Cross multiply
    3,151.52x = 4,707.04 × 2,283.20
  4. Step 4: Simplify right side
    3,151.52x = 10,747,113.73
  5. Step 5: Solve for x
    x = 10,747,113.73/3,151.52
  6. Step 6: Final answer
    x = 3,410.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.