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Finding the Fourth Proportional to 5,327.52, 7,974 and 4,751.52

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Solution

The fourth proportional to 5,327.52, 7,974 and 4,751.52 is: 7,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.52 : 7,974 = 4,751.52 : x
  2. Step 2: Convert to fraction form
    5,327.52/7,974 = 4,751.52/x
  3. Step 3: Cross multiply
    5,327.52x = 7,974 × 4,751.52
  4. Step 4: Simplify right side
    5,327.52x = 37,888,620.48
  5. Step 5: Solve for x
    x = 37,888,620.48/5,327.52
  6. Step 6: Final answer
    x = 7,111.87

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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.