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Finding the Fourth Proportional to 3,984.80, 5,500.08 and 2,806.40

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Solution

The fourth proportional to 3,984.80, 5,500.08 and 2,806.40 is: 3,873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.80 : 5,500.08 = 2,806.40 : x
  2. Step 2: Convert to fraction form
    3,984.80/5,500.08 = 2,806.40/x
  3. Step 3: Cross multiply
    3,984.80x = 5,500.08 × 2,806.40
  4. Step 4: Simplify right side
    3,984.80x = 15,435,424.51
  5. Step 5: Solve for x
    x = 15,435,424.51/3,984.80
  6. Step 6: Final answer
    x = 3,873.58

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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.