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Finding the Fourth Proportional to 4,826.64, 7,229.85 and 3,884.46

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Solution

The fourth proportional to 4,826.64, 7,229.85 and 3,884.46 is: 5,818.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.64 : 7,229.85 = 3,884.46 : x
  2. Step 2: Convert to fraction form
    4,826.64/7,229.85 = 3,884.46/x
  3. Step 3: Cross multiply
    4,826.64x = 7,229.85 × 3,884.46
  4. Step 4: Simplify right side
    4,826.64x = 28,084,063.13
  5. Step 5: Solve for x
    x = 28,084,063.13/4,826.64
  6. Step 6: Final answer
    x = 5,818.55

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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.