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Finding the Fourth Proportional to 3,888.32, 5,366.00 and 2,209.66

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Solution

The fourth proportional to 3,888.32, 5,366.00 and 2,209.66 is: 3,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.32 : 5,366.00 = 2,209.66 : x
  2. Step 2: Convert to fraction form
    3,888.32/5,366.00 = 2,209.66/x
  3. Step 3: Cross multiply
    3,888.32x = 5,366.00 × 2,209.66
  4. Step 4: Simplify right side
    3,888.32x = 11,857,027.67
  5. Step 5: Solve for x
    x = 11,857,027.67/3,888.32
  6. Step 6: Final answer
    x = 3,049.40

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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.