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Finding the Fourth Proportional to 4,167.89, 5,752.92 and 2,400.74

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Solution

The fourth proportional to 4,167.89, 5,752.92 and 2,400.74 is: 3,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.89 : 5,752.92 = 2,400.74 : x
  2. Step 2: Convert to fraction form
    4,167.89/5,752.92 = 2,400.74/x
  3. Step 3: Cross multiply
    4,167.89x = 5,752.92 × 2,400.74
  4. Step 4: Simplify right side
    4,167.89x = 13,811,236.40
  5. Step 5: Solve for x
    x = 13,811,236.40/4,167.89
  6. Step 6: Final answer
    x = 3,313.73

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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.