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Finding the Fourth Proportional to 5,274.60, 7,911.78 and 2,154.60

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Solution

The fourth proportional to 5,274.60, 7,911.78 and 2,154.60 is: 3,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.60 : 7,911.78 = 2,154.60 : x
  2. Step 2: Convert to fraction form
    5,274.60/7,911.78 = 2,154.60/x
  3. Step 3: Cross multiply
    5,274.60x = 7,911.78 × 2,154.60
  4. Step 4: Simplify right side
    5,274.60x = 17,046,721.19
  5. Step 5: Solve for x
    x = 17,046,721.19/5,274.60
  6. Step 6: Final answer
    x = 3,231.85

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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.