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Finding the Fourth Proportional to 4,167.48, 5,750.99 and 2,279

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Solution

The fourth proportional to 4,167.48, 5,750.99 and 2,279 is: 3,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.48 : 5,750.99 = 2,279 : x
  2. Step 2: Convert to fraction form
    4,167.48/5,750.99 = 2,279/x
  3. Step 3: Cross multiply
    4,167.48x = 5,750.99 × 2,279
  4. Step 4: Simplify right side
    4,167.48x = 13,106,506.21
  5. Step 5: Solve for x
    x = 13,106,506.21/4,167.48
  6. Step 6: Final answer
    x = 3,144.95

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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.