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Finding the Fourth Proportional to 3,998.20, 5,509.70 and 2,877.16

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Solution

The fourth proportional to 3,998.20, 5,509.70 and 2,877.16 is: 3,964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.20 : 5,509.70 = 2,877.16 : x
  2. Step 2: Convert to fraction form
    3,998.20/5,509.70 = 2,877.16/x
  3. Step 3: Cross multiply
    3,998.20x = 5,509.70 × 2,877.16
  4. Step 4: Simplify right side
    3,998.20x = 15,852,288.45
  5. Step 5: Solve for x
    x = 15,852,288.45/3,998.20
  6. Step 6: Final answer
    x = 3,964.86

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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.