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Finding the Fourth Proportional to 3,532.74, 4,871.82 and 2,116.20

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Solution

The fourth proportional to 3,532.74, 4,871.82 and 2,116.20 is: 2,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.74 : 4,871.82 = 2,116.20 : x
  2. Step 2: Convert to fraction form
    3,532.74/4,871.82 = 2,116.20/x
  3. Step 3: Cross multiply
    3,532.74x = 4,871.82 × 2,116.20
  4. Step 4: Simplify right side
    3,532.74x = 10,309,745.48
  5. Step 5: Solve for x
    x = 10,309,745.48/3,532.74
  6. Step 6: Final answer
    x = 2,918.34

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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.