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Finding the Fourth Proportional to 3,909.88, 5,396.14 and 2,230.90

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Solution

The fourth proportional to 3,909.88, 5,396.14 and 2,230.90 is: 3,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.88 : 5,396.14 = 2,230.90 : x
  2. Step 2: Convert to fraction form
    3,909.88/5,396.14 = 2,230.90/x
  3. Step 3: Cross multiply
    3,909.88x = 5,396.14 × 2,230.90
  4. Step 4: Simplify right side
    3,909.88x = 12,038,248.73
  5. Step 5: Solve for x
    x = 12,038,248.73/3,909.88
  6. Step 6: Final answer
    x = 3,078.93

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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.