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Finding the Fourth Proportional to 3,722.70, 5,131.71 and 2,323.02

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Solution

The fourth proportional to 3,722.70, 5,131.71 and 2,323.02 is: 3,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.70 : 5,131.71 = 2,323.02 : x
  2. Step 2: Convert to fraction form
    3,722.70/5,131.71 = 2,323.02/x
  3. Step 3: Cross multiply
    3,722.70x = 5,131.71 × 2,323.02
  4. Step 4: Simplify right side
    3,722.70x = 11,921,064.96
  5. Step 5: Solve for x
    x = 11,921,064.96/3,722.70
  6. Step 6: Final answer
    x = 3,202.26

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