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Finding the Fourth Proportional to 5,982.60, 8,972.01 and 5,537.91

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Solution

The fourth proportional to 5,982.60, 8,972.01 and 5,537.91 is: 8,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.60 : 8,972.01 = 5,537.91 : x
  2. Step 2: Convert to fraction form
    5,982.60/8,972.01 = 5,537.91/x
  3. Step 3: Cross multiply
    5,982.60x = 8,972.01 × 5,537.91
  4. Step 4: Simplify right side
    5,982.60x = 49,686,183.90
  5. Step 5: Solve for x
    x = 49,686,183.90/5,982.60
  6. Step 6: Final answer
    x = 8,305.12

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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.