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Finding the Fourth Proportional to 4,191.62, 5,781.23 and 2,848.26

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Solution

The fourth proportional to 4,191.62, 5,781.23 and 2,848.26 is: 3,928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.62 : 5,781.23 = 2,848.26 : x
  2. Step 2: Convert to fraction form
    4,191.62/5,781.23 = 2,848.26/x
  3. Step 3: Cross multiply
    4,191.62x = 5,781.23 × 2,848.26
  4. Step 4: Simplify right side
    4,191.62x = 16,466,446.16
  5. Step 5: Solve for x
    x = 16,466,446.16/4,191.62
  6. Step 6: Final answer
    x = 3,928.42

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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.