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Finding the Fourth Proportional to 3,971.32, 5,480.48 and 2,178.84

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Solution

The fourth proportional to 3,971.32, 5,480.48 and 2,178.84 is: 3,006.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.32 : 5,480.48 = 2,178.84 : x
  2. Step 2: Convert to fraction form
    3,971.32/5,480.48 = 2,178.84/x
  3. Step 3: Cross multiply
    3,971.32x = 5,480.48 × 2,178.84
  4. Step 4: Simplify right side
    3,971.32x = 11,941,089.04
  5. Step 5: Solve for x
    x = 11,941,089.04/3,971.32
  6. Step 6: Final answer
    x = 3,006.83

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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.