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Finding the Fourth Proportional to 4,167.72, 5,751.24 and 2,278.94

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Solution

The fourth proportional to 4,167.72, 5,751.24 and 2,278.94 is: 3,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.72 : 5,751.24 = 2,278.94 : x
  2. Step 2: Convert to fraction form
    4,167.72/5,751.24 = 2,278.94/x
  3. Step 3: Cross multiply
    4,167.72x = 5,751.24 × 2,278.94
  4. Step 4: Simplify right side
    4,167.72x = 13,106,733.67
  5. Step 5: Solve for x
    x = 13,106,733.67/4,167.72
  6. Step 6: Final answer
    x = 3,144.82

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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.