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Finding the Fourth Proportional to 5,791.10, 8,685.84 and 1,895

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Solution

The fourth proportional to 5,791.10, 8,685.84 and 1,895 is: 2,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.10 : 8,685.84 = 1,895 : x
  2. Step 2: Convert to fraction form
    5,791.10/8,685.84 = 1,895/x
  3. Step 3: Cross multiply
    5,791.10x = 8,685.84 × 1,895
  4. Step 4: Simplify right side
    5,791.10x = 16,459,666.80
  5. Step 5: Solve for x
    x = 16,459,666.80/5,791.10
  6. Step 6: Final answer
    x = 2,842.23

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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.