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Finding the Fourth Proportional to 4,167, 5,750.64 and 3,173.04

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Solution

The fourth proportional to 4,167, 5,750.64 and 3,173.04 is: 4,378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167 : 5,750.64 = 3,173.04 : x
  2. Step 2: Convert to fraction form
    4,167/5,750.64 = 3,173.04/x
  3. Step 3: Cross multiply
    4,167x = 5,750.64 × 3,173.04
  4. Step 4: Simplify right side
    4,167x = 18,247,010.75
  5. Step 5: Solve for x
    x = 18,247,010.75/4,167
  6. Step 6: Final answer
    x = 4,378.93

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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.