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Finding the Fourth Proportional to 3,167.38, 4,372.47 and 2,228.12

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Solution

The fourth proportional to 3,167.38, 4,372.47 and 2,228.12 is: 3,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.38 : 4,372.47 = 2,228.12 : x
  2. Step 2: Convert to fraction form
    3,167.38/4,372.47 = 2,228.12/x
  3. Step 3: Cross multiply
    3,167.38x = 4,372.47 × 2,228.12
  4. Step 4: Simplify right side
    3,167.38x = 9,742,387.86
  5. Step 5: Solve for x
    x = 9,742,387.86/3,167.38
  6. Step 6: Final answer
    x = 3,075.85

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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.