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Finding the Fourth Proportional to 5,434.78, 8,146.44 and 2,515

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Solution

The fourth proportional to 5,434.78, 8,146.44 and 2,515 is: 3,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.78 : 8,146.44 = 2,515 : x
  2. Step 2: Convert to fraction form
    5,434.78/8,146.44 = 2,515/x
  3. Step 3: Cross multiply
    5,434.78x = 8,146.44 × 2,515
  4. Step 4: Simplify right side
    5,434.78x = 20,488,296.60
  5. Step 5: Solve for x
    x = 20,488,296.60/5,434.78
  6. Step 6: Final answer
    x = 3,769.85

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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.