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Finding the Fourth Proportional to 5,034.60, 7,550.64 and 2,115

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Solution

The fourth proportional to 5,034.60, 7,550.64 and 2,115 is: 3,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.60 : 7,550.64 = 2,115 : x
  2. Step 2: Convert to fraction form
    5,034.60/7,550.64 = 2,115/x
  3. Step 3: Cross multiply
    5,034.60x = 7,550.64 × 2,115
  4. Step 4: Simplify right side
    5,034.60x = 15,969,603.60
  5. Step 5: Solve for x
    x = 15,969,603.60/5,034.60
  6. Step 6: Final answer
    x = 3,171.97

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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.