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Finding the Fourth Proportional to 3,998.84, 5,510.76 and 2,877.80

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Solution

The fourth proportional to 3,998.84, 5,510.76 and 2,877.80 is: 3,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.84 : 5,510.76 = 2,877.80 : x
  2. Step 2: Convert to fraction form
    3,998.84/5,510.76 = 2,877.80/x
  3. Step 3: Cross multiply
    3,998.84x = 5,510.76 × 2,877.80
  4. Step 4: Simplify right side
    3,998.84x = 15,858,865.13
  5. Step 5: Solve for x
    x = 15,858,865.13/3,998.84
  6. Step 6: Final answer
    x = 3,965.87

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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.