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Finding the Fourth Proportional to 5,078.75, 7,618.13 and 1,380.98

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Solution

The fourth proportional to 5,078.75, 7,618.13 and 1,380.98 is: 2,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.75 : 7,618.13 = 1,380.98 : x
  2. Step 2: Convert to fraction form
    5,078.75/7,618.13 = 1,380.98/x
  3. Step 3: Cross multiply
    5,078.75x = 7,618.13 × 1,380.98
  4. Step 4: Simplify right side
    5,078.75x = 10,520,440.17
  5. Step 5: Solve for x
    x = 10,520,440.17/5,078.75
  6. Step 6: Final answer
    x = 2,071.46

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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.