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Finding the Fourth Proportional to 3,960.32, 5,465 and 2,191.88

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Solution

The fourth proportional to 3,960.32, 5,465 and 2,191.88 is: 3,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.32 : 5,465 = 2,191.88 : x
  2. Step 2: Convert to fraction form
    3,960.32/5,465 = 2,191.88/x
  3. Step 3: Cross multiply
    3,960.32x = 5,465 × 2,191.88
  4. Step 4: Simplify right side
    3,960.32x = 11,978,624.20
  5. Step 5: Solve for x
    x = 11,978,624.20/3,960.32
  6. Step 6: Final answer
    x = 3,024.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.