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Finding the Fourth Proportional to 4,167, 5,751.22 and 2,594.92

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Solution

The fourth proportional to 4,167, 5,751.22 and 2,594.92 is: 3,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167 : 5,751.22 = 2,594.92 : x
  2. Step 2: Convert to fraction form
    4,167/5,751.22 = 2,594.92/x
  3. Step 3: Cross multiply
    4,167x = 5,751.22 × 2,594.92
  4. Step 4: Simplify right side
    4,167x = 14,923,955.80
  5. Step 5: Solve for x
    x = 14,923,955.80/4,167
  6. Step 6: Final answer
    x = 3,581.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.