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Finding the Fourth Proportional to 3,146.76, 4,720.12 and 2,286.52

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Solution

The fourth proportional to 3,146.76, 4,720.12 and 2,286.52 is: 3,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.76 : 4,720.12 = 2,286.52 : x
  2. Step 2: Convert to fraction form
    3,146.76/4,720.12 = 2,286.52/x
  3. Step 3: Cross multiply
    3,146.76x = 4,720.12 × 2,286.52
  4. Step 4: Simplify right side
    3,146.76x = 10,792,648.78
  5. Step 5: Solve for x
    x = 10,792,648.78/3,146.76
  6. Step 6: Final answer
    x = 3,429.77

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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.