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Finding the Fourth Proportional to 5,182.32, 7,151.41 and 2,824.41

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Solution

The fourth proportional to 5,182.32, 7,151.41 and 2,824.41 is: 3,897.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.32 : 7,151.41 = 2,824.41 : x
  2. Step 2: Convert to fraction form
    5,182.32/7,151.41 = 2,824.41/x
  3. Step 3: Cross multiply
    5,182.32x = 7,151.41 × 2,824.41
  4. Step 4: Simplify right side
    5,182.32x = 20,198,517.45
  5. Step 5: Solve for x
    x = 20,198,517.45/5,182.32
  6. Step 6: Final answer
    x = 3,897.58

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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.