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Finding the Fourth Proportional to 3,801.67, 5,244.84 and 2,384.78

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Solution

The fourth proportional to 3,801.67, 5,244.84 and 2,384.78 is: 3,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.67 : 5,244.84 = 2,384.78 : x
  2. Step 2: Convert to fraction form
    3,801.67/5,244.84 = 2,384.78/x
  3. Step 3: Cross multiply
    3,801.67x = 5,244.84 × 2,384.78
  4. Step 4: Simplify right side
    3,801.67x = 12,507,789.54
  5. Step 5: Solve for x
    x = 12,507,789.54/3,801.67
  6. Step 6: Final answer
    x = 3,290.08

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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.