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Finding the Fourth Proportional to 5,258.52, 7,891.86 and 1,974.60

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Solution

The fourth proportional to 5,258.52, 7,891.86 and 1,974.60 is: 2,963.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.52 : 7,891.86 = 1,974.60 : x
  2. Step 2: Convert to fraction form
    5,258.52/7,891.86 = 1,974.60/x
  3. Step 3: Cross multiply
    5,258.52x = 7,891.86 × 1,974.60
  4. Step 4: Simplify right side
    5,258.52x = 15,583,266.76
  5. Step 5: Solve for x
    x = 15,583,266.76/5,258.52
  6. Step 6: Final answer
    x = 2,963.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.