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Finding the Fourth Proportional to 4,166.84, 5,751.69 and 2,399.15

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Solution

The fourth proportional to 4,166.84, 5,751.69 and 2,399.15 is: 3,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.84 : 5,751.69 = 2,399.15 : x
  2. Step 2: Convert to fraction form
    4,166.84/5,751.69 = 2,399.15/x
  3. Step 3: Cross multiply
    4,166.84x = 5,751.69 × 2,399.15
  4. Step 4: Simplify right side
    4,166.84x = 13,799,167.06
  5. Step 5: Solve for x
    x = 13,799,167.06/4,166.84
  6. Step 6: Final answer
    x = 3,311.66

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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.