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Finding the Fourth Proportional to 5,874.98, 8,812.46 and 1,982.12

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Solution

The fourth proportional to 5,874.98, 8,812.46 and 1,982.12 is: 2,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.98 : 8,812.46 = 1,982.12 : x
  2. Step 2: Convert to fraction form
    5,874.98/8,812.46 = 1,982.12/x
  3. Step 3: Cross multiply
    5,874.98x = 8,812.46 × 1,982.12
  4. Step 4: Simplify right side
    5,874.98x = 17,467,314.11
  5. Step 5: Solve for x
    x = 17,467,314.11/5,874.98
  6. Step 6: Final answer
    x = 2,973.17

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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.