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Finding the Fourth Proportional to 5,078.72, 7,618.12 and 1,380.96

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Solution

The fourth proportional to 5,078.72, 7,618.12 and 1,380.96 is: 2,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.72 : 7,618.12 = 1,380.96 : x
  2. Step 2: Convert to fraction form
    5,078.72/7,618.12 = 1,380.96/x
  3. Step 3: Cross multiply
    5,078.72x = 7,618.12 × 1,380.96
  4. Step 4: Simplify right side
    5,078.72x = 10,520,319.00
  5. Step 5: Solve for x
    x = 10,520,319.00/5,078.72
  6. Step 6: Final answer
    x = 2,071.45

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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.