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Finding the Fourth Proportional to 5,229.60, 7,844.40 and 4,767.90

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Solution

The fourth proportional to 5,229.60, 7,844.40 and 4,767.90 is: 7,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.60 : 7,844.40 = 4,767.90 : x
  2. Step 2: Convert to fraction form
    5,229.60/7,844.40 = 4,767.90/x
  3. Step 3: Cross multiply
    5,229.60x = 7,844.40 × 4,767.90
  4. Step 4: Simplify right side
    5,229.60x = 37,401,314.76
  5. Step 5: Solve for x
    x = 37,401,314.76/5,229.60
  6. Step 6: Final answer
    x = 7,151.85

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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.