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Finding the Fourth Proportional to 5,268.70, 7,270.86 and 2,878.74

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Solution

The fourth proportional to 5,268.70, 7,270.86 and 2,878.74 is: 3,972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.70 : 7,270.86 = 2,878.74 : x
  2. Step 2: Convert to fraction form
    5,268.70/7,270.86 = 2,878.74/x
  3. Step 3: Cross multiply
    5,268.70x = 7,270.86 × 2,878.74
  4. Step 4: Simplify right side
    5,268.70x = 20,930,915.52
  5. Step 5: Solve for x
    x = 20,930,915.52/5,268.70
  6. Step 6: Final answer
    x = 3,972.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.