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Finding the Fourth Proportional to 3,280.86, 4,517.91 and 2,931.42

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Solution

The fourth proportional to 3,280.86, 4,517.91 and 2,931.42 is: 4,036.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.86 : 4,517.91 = 2,931.42 : x
  2. Step 2: Convert to fraction form
    3,280.86/4,517.91 = 2,931.42/x
  3. Step 3: Cross multiply
    3,280.86x = 4,517.91 × 2,931.42
  4. Step 4: Simplify right side
    3,280.86x = 13,243,891.73
  5. Step 5: Solve for x
    x = 13,243,891.73/3,280.86
  6. Step 6: Final answer
    x = 4,036.71

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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.