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Finding the Fourth Proportional to 3,706.22, 5,115.89 and 2,291.00

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Solution

The fourth proportional to 3,706.22, 5,115.89 and 2,291.00 is: 3,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.22 : 5,115.89 = 2,291.00 : x
  2. Step 2: Convert to fraction form
    3,706.22/5,115.89 = 2,291.00/x
  3. Step 3: Cross multiply
    3,706.22x = 5,115.89 × 2,291.00
  4. Step 4: Simplify right side
    3,706.22x = 11,720,472.68
  5. Step 5: Solve for x
    x = 11,720,472.68/3,706.22
  6. Step 6: Final answer
    x = 3,162.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.