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Finding the Fourth Proportional to 5,753.70, 8,625.81 and 2,981.16

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Solution

The fourth proportional to 5,753.70, 8,625.81 and 2,981.16 is: 4,469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.70 : 8,625.81 = 2,981.16 : x
  2. Step 2: Convert to fraction form
    5,753.70/8,625.81 = 2,981.16/x
  3. Step 3: Cross multiply
    5,753.70x = 8,625.81 × 2,981.16
  4. Step 4: Simplify right side
    5,753.70x = 25,714,919.74
  5. Step 5: Solve for x
    x = 25,714,919.74/5,753.70
  6. Step 6: Final answer
    x = 4,469.28

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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.