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Finding the Fourth Proportional to 3,984.32, 5,498.96 and 2,868.95

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Solution

The fourth proportional to 3,984.32, 5,498.96 and 2,868.95 is: 3,959.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.32 : 5,498.96 = 2,868.95 : x
  2. Step 2: Convert to fraction form
    3,984.32/5,498.96 = 2,868.95/x
  3. Step 3: Cross multiply
    3,984.32x = 5,498.96 × 2,868.95
  4. Step 4: Simplify right side
    3,984.32x = 15,776,240.69
  5. Step 5: Solve for x
    x = 15,776,240.69/3,984.32
  6. Step 6: Final answer
    x = 3,959.58

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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.