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Finding the Fourth Proportional to 5,710.38, 7,880.22 and 3,226.38

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Solution

The fourth proportional to 5,710.38, 7,880.22 and 3,226.38 is: 4,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.38 : 7,880.22 = 3,226.38 : x
  2. Step 2: Convert to fraction form
    5,710.38/7,880.22 = 3,226.38/x
  3. Step 3: Cross multiply
    5,710.38x = 7,880.22 × 3,226.38
  4. Step 4: Simplify right side
    5,710.38x = 25,424,584.20
  5. Step 5: Solve for x
    x = 25,424,584.20/5,710.38
  6. Step 6: Final answer
    x = 4,452.35

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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.