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Finding the Fourth Proportional to 3,247.80, 4,837.74 and 3,204.74

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Solution

The fourth proportional to 3,247.80, 4,837.74 and 3,204.74 is: 4,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.80 : 4,837.74 = 3,204.74 : x
  2. Step 2: Convert to fraction form
    3,247.80/4,837.74 = 3,204.74/x
  3. Step 3: Cross multiply
    3,247.80x = 4,837.74 × 3,204.74
  4. Step 4: Simplify right side
    3,247.80x = 15,503,698.89
  5. Step 5: Solve for x
    x = 15,503,698.89/3,247.80
  6. Step 6: Final answer
    x = 4,773.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.