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Finding the Fourth Proportional to 4,265.85, 5,887.84 and 2,771.16

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Solution

The fourth proportional to 4,265.85, 5,887.84 and 2,771.16 is: 3,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265.85 : 5,887.84 = 2,771.16 : x
  2. Step 2: Convert to fraction form
    4,265.85/5,887.84 = 2,771.16/x
  3. Step 3: Cross multiply
    4,265.85x = 5,887.84 × 2,771.16
  4. Step 4: Simplify right side
    4,265.85x = 16,316,146.69
  5. Step 5: Solve for x
    x = 16,316,146.69/4,265.85
  6. Step 6: Final answer
    x = 3,824.83

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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.