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Finding the Fourth Proportional to 5,078.52, 7,617.74 and 1,380.44

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Solution

The fourth proportional to 5,078.52, 7,617.74 and 1,380.44 is: 2,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.52 : 7,617.74 = 1,380.44 : x
  2. Step 2: Convert to fraction form
    5,078.52/7,617.74 = 1,380.44/x
  3. Step 3: Cross multiply
    5,078.52x = 7,617.74 × 1,380.44
  4. Step 4: Simplify right side
    5,078.52x = 10,515,833.01
  5. Step 5: Solve for x
    x = 10,515,833.01/5,078.52
  6. Step 6: Final answer
    x = 2,070.65

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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.