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Finding the Fourth Proportional to 5,982.15, 8,972.64 and 2,471.16

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Solution

The fourth proportional to 5,982.15, 8,972.64 and 2,471.16 is: 3,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.15 : 8,972.64 = 2,471.16 : x
  2. Step 2: Convert to fraction form
    5,982.15/8,972.64 = 2,471.16/x
  3. Step 3: Cross multiply
    5,982.15x = 8,972.64 × 2,471.16
  4. Step 4: Simplify right side
    5,982.15x = 22,172,829.06
  5. Step 5: Solve for x
    x = 22,172,829.06/5,982.15
  6. Step 6: Final answer
    x = 3,706.50

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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.