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Finding the Fourth Proportional to 4,506.48, 6,761.16 and 2,167.20

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Solution

The fourth proportional to 4,506.48, 6,761.16 and 2,167.20 is: 3,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.48 : 6,761.16 = 2,167.20 : x
  2. Step 2: Convert to fraction form
    4,506.48/6,761.16 = 2,167.20/x
  3. Step 3: Cross multiply
    4,506.48x = 6,761.16 × 2,167.20
  4. Step 4: Simplify right side
    4,506.48x = 14,652,785.95
  5. Step 5: Solve for x
    x = 14,652,785.95/4,506.48
  6. Step 6: Final answer
    x = 3,251.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.