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Finding the Fourth Proportional to 4,167.46, 5,750.38 and 2,489.54

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Solution

The fourth proportional to 4,167.46, 5,750.38 and 2,489.54 is: 3,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.46 : 5,750.38 = 2,489.54 : x
  2. Step 2: Convert to fraction form
    4,167.46/5,750.38 = 2,489.54/x
  3. Step 3: Cross multiply
    4,167.46x = 5,750.38 × 2,489.54
  4. Step 4: Simplify right side
    4,167.46x = 14,315,801.03
  5. Step 5: Solve for x
    x = 14,315,801.03/4,167.46
  6. Step 6: Final answer
    x = 3,435.14

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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.