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Finding the Fourth Proportional to 5,078.40, 7,617.76 and 1,380.71

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Solution

The fourth proportional to 5,078.40, 7,617.76 and 1,380.71 is: 2,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.40 : 7,617.76 = 1,380.71 : x
  2. Step 2: Convert to fraction form
    5,078.40/7,617.76 = 1,380.71/x
  3. Step 3: Cross multiply
    5,078.40x = 7,617.76 × 1,380.71
  4. Step 4: Simplify right side
    5,078.40x = 10,517,917.41
  5. Step 5: Solve for x
    x = 10,517,917.41/5,078.40
  6. Step 6: Final answer
    x = 2,071.11

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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.