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Finding the Fourth Proportional to 5,914.14, 8,871.22 and 1,532.04

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Solution

The fourth proportional to 5,914.14, 8,871.22 and 1,532.04 is: 2,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.14 : 8,871.22 = 1,532.04 : x
  2. Step 2: Convert to fraction form
    5,914.14/8,871.22 = 1,532.04/x
  3. Step 3: Cross multiply
    5,914.14x = 8,871.22 × 1,532.04
  4. Step 4: Simplify right side
    5,914.14x = 13,591,063.89
  5. Step 5: Solve for x
    x = 13,591,063.89/5,914.14
  6. Step 6: Final answer
    x = 2,298.06

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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.