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Finding the Fourth Proportional to 4,191.91, 5,785.59 and 2,865.13

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Solution

The fourth proportional to 4,191.91, 5,785.59 and 2,865.13 is: 3,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.91 : 5,785.59 = 2,865.13 : x
  2. Step 2: Convert to fraction form
    4,191.91/5,785.59 = 2,865.13/x
  3. Step 3: Cross multiply
    4,191.91x = 5,785.59 × 2,865.13
  4. Step 4: Simplify right side
    4,191.91x = 16,576,467.48
  5. Step 5: Solve for x
    x = 16,576,467.48/4,191.91
  6. Step 6: Final answer
    x = 3,954.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.