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Finding the Fourth Proportional to 5,494.75, 7,597.20 and 5,249.95

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Solution

The fourth proportional to 5,494.75, 7,597.20 and 5,249.95 is: 7,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.75 : 7,597.20 = 5,249.95 : x
  2. Step 2: Convert to fraction form
    5,494.75/7,597.20 = 5,249.95/x
  3. Step 3: Cross multiply
    5,494.75x = 7,597.20 × 5,249.95
  4. Step 4: Simplify right side
    5,494.75x = 39,884,920.14
  5. Step 5: Solve for x
    x = 39,884,920.14/5,494.75
  6. Step 6: Final answer
    x = 7,258.73

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1.5x scale

Why These Related Problems?

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