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Finding the Fourth Proportional to 3,722.58, 5,135.13 and 2,209.23

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Solution

The fourth proportional to 3,722.58, 5,135.13 and 2,209.23 is: 3,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.58 : 5,135.13 = 2,209.23 : x
  2. Step 2: Convert to fraction form
    3,722.58/5,135.13 = 2,209.23/x
  3. Step 3: Cross multiply
    3,722.58x = 5,135.13 × 2,209.23
  4. Step 4: Simplify right side
    3,722.58x = 11,344,683.25
  5. Step 5: Solve for x
    x = 11,344,683.25/3,722.58
  6. Step 6: Final answer
    x = 3,047.53

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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.