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Finding the Fourth Proportional to 3,881.29, 5,822.84 and 1,108.00

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Solution

The fourth proportional to 3,881.29, 5,822.84 and 1,108.00 is: 1,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.29 : 5,822.84 = 1,108.00 : x
  2. Step 2: Convert to fraction form
    3,881.29/5,822.84 = 1,108.00/x
  3. Step 3: Cross multiply
    3,881.29x = 5,822.84 × 1,108.00
  4. Step 4: Simplify right side
    3,881.29x = 6,451,686.62
  5. Step 5: Solve for x
    x = 6,451,686.62/3,881.29
  6. Step 6: Final answer
    x = 1,662.25

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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.