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Finding the Fourth Proportional to 5,229.92, 7,844.87 and 3,283.49

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Solution

The fourth proportional to 5,229.92, 7,844.87 and 3,283.49 is: 4,925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.92 : 7,844.87 = 3,283.49 : x
  2. Step 2: Convert to fraction form
    5,229.92/7,844.87 = 3,283.49/x
  3. Step 3: Cross multiply
    5,229.92x = 7,844.87 × 3,283.49
  4. Step 4: Simplify right side
    5,229.92x = 25,758,580.02
  5. Step 5: Solve for x
    x = 25,758,580.02/5,229.92
  6. Step 6: Final answer
    x = 4,925.23

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1.5x scale

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.