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Finding the Fourth Proportional to 3,872.39, 5,808.80 and 1,098.84

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Solution

The fourth proportional to 3,872.39, 5,808.80 and 1,098.84 is: 1,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.39 : 5,808.80 = 1,098.84 : x
  2. Step 2: Convert to fraction form
    3,872.39/5,808.80 = 1,098.84/x
  3. Step 3: Cross multiply
    3,872.39x = 5,808.80 × 1,098.84
  4. Step 4: Simplify right side
    3,872.39x = 6,382,966.32
  5. Step 5: Solve for x
    x = 6,382,966.32/3,872.39
  6. Step 6: Final answer
    x = 1,648.33

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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.