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Finding the Fourth Proportional to 5,866.90, 8,096.38 and 3,349.13

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Solution

The fourth proportional to 5,866.90, 8,096.38 and 3,349.13 is: 4,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.90 : 8,096.38 = 3,349.13 : x
  2. Step 2: Convert to fraction form
    5,866.90/8,096.38 = 3,349.13/x
  3. Step 3: Cross multiply
    5,866.90x = 8,096.38 × 3,349.13
  4. Step 4: Simplify right side
    5,866.90x = 27,115,780.29
  5. Step 5: Solve for x
    x = 27,115,780.29/5,866.90
  6. Step 6: Final answer
    x = 4,621.83

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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.