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Finding the Fourth Proportional to 5,837.91, 8,758.24 and 1,677.81

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Solution

The fourth proportional to 5,837.91, 8,758.24 and 1,677.81 is: 2,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.91 : 8,758.24 = 1,677.81 : x
  2. Step 2: Convert to fraction form
    5,837.91/8,758.24 = 1,677.81/x
  3. Step 3: Cross multiply
    5,837.91x = 8,758.24 × 1,677.81
  4. Step 4: Simplify right side
    5,837.91x = 14,694,662.65
  5. Step 5: Solve for x
    x = 14,694,662.65/5,837.91
  6. Step 6: Final answer
    x = 2,517.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.