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Finding the Fourth Proportional to 3,140.66, 4,321.32 and 2,881.46

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Solution

The fourth proportional to 3,140.66, 4,321.32 and 2,881.46 is: 3,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.66 : 4,321.32 = 2,881.46 : x
  2. Step 2: Convert to fraction form
    3,140.66/4,321.32 = 2,881.46/x
  3. Step 3: Cross multiply
    3,140.66x = 4,321.32 × 2,881.46
  4. Step 4: Simplify right side
    3,140.66x = 12,451,710.73
  5. Step 5: Solve for x
    x = 12,451,710.73/3,140.66
  6. Step 6: Final answer
    x = 3,964.68

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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.