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Finding the Fourth Proportional to 7,259.88, 10,884.78 and 3,974.52

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Solution

The fourth proportional to 7,259.88, 10,884.78 and 3,974.52 is: 5,959.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.88 : 10,884.78 = 3,974.52 : x
  2. Step 2: Convert to fraction form
    7,259.88/10,884.78 = 3,974.52/x
  3. Step 3: Cross multiply
    7,259.88x = 10,884.78 × 3,974.52
  4. Step 4: Simplify right side
    7,259.88x = 43,261,775.81
  5. Step 5: Solve for x
    x = 43,261,775.81/7,259.88
  6. Step 6: Final answer
    x = 5,959.02

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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.