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Finding the Fourth Proportional to 4,266.32, 6,400.49 and 2,186.24

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Solution

The fourth proportional to 4,266.32, 6,400.49 and 2,186.24 is: 3,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.32 : 6,400.49 = 2,186.24 : x
  2. Step 2: Convert to fraction form
    4,266.32/6,400.49 = 2,186.24/x
  3. Step 3: Cross multiply
    4,266.32x = 6,400.49 × 2,186.24
  4. Step 4: Simplify right side
    4,266.32x = 13,992,964.32
  5. Step 5: Solve for x
    x = 13,992,964.32/4,266.32
  6. Step 6: Final answer
    x = 3,279.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.