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Finding the Fourth Proportional to 3,871.53, 5,801.15 and 2,996.16

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Solution

The fourth proportional to 3,871.53, 5,801.15 and 2,996.16 is: 4,489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.53 : 5,801.15 = 2,996.16 : x
  2. Step 2: Convert to fraction form
    3,871.53/5,801.15 = 2,996.16/x
  3. Step 3: Cross multiply
    3,871.53x = 5,801.15 × 2,996.16
  4. Step 4: Simplify right side
    3,871.53x = 17,381,173.58
  5. Step 5: Solve for x
    x = 17,381,173.58/3,871.53
  6. Step 6: Final answer
    x = 4,489.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.