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Finding the Fourth Proportional to 5,694.12, 7,848.90 and 4,294.44

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Solution

The fourth proportional to 5,694.12, 7,848.90 and 4,294.44 is: 5,919.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.12 : 7,848.90 = 4,294.44 : x
  2. Step 2: Convert to fraction form
    5,694.12/7,848.90 = 4,294.44/x
  3. Step 3: Cross multiply
    5,694.12x = 7,848.90 × 4,294.44
  4. Step 4: Simplify right side
    5,694.12x = 33,706,630.12
  5. Step 5: Solve for x
    x = 33,706,630.12/5,694.12
  6. Step 6: Final answer
    x = 5,919.55

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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.