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Finding the Fourth Proportional to 3,715.40, 5,126.40 and 2,223.06

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Solution

The fourth proportional to 3,715.40, 5,126.40 and 2,223.06 is: 3,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.40 : 5,126.40 = 2,223.06 : x
  2. Step 2: Convert to fraction form
    3,715.40/5,126.40 = 2,223.06/x
  3. Step 3: Cross multiply
    3,715.40x = 5,126.40 × 2,223.06
  4. Step 4: Simplify right side
    3,715.40x = 11,396,294.78
  5. Step 5: Solve for x
    x = 11,396,294.78/3,715.40
  6. Step 6: Final answer
    x = 3,067.31

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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.