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Finding the Fourth Proportional to 3,857.85, 5,324.83 and 2,264.71

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Solution

The fourth proportional to 3,857.85, 5,324.83 and 2,264.71 is: 3,125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.85 : 5,324.83 = 2,264.71 : x
  2. Step 2: Convert to fraction form
    3,857.85/5,324.83 = 2,264.71/x
  3. Step 3: Cross multiply
    3,857.85x = 5,324.83 × 2,264.71
  4. Step 4: Simplify right side
    3,857.85x = 12,059,195.75
  5. Step 5: Solve for x
    x = 12,059,195.75/3,857.85
  6. Step 6: Final answer
    x = 3,125.89

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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.