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Finding the Fourth Proportional to 5,895.90, 8,841.42 and 2,197.44

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Solution

The fourth proportional to 5,895.90, 8,841.42 and 2,197.44 is: 3,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.90 : 8,841.42 = 2,197.44 : x
  2. Step 2: Convert to fraction form
    5,895.90/8,841.42 = 2,197.44/x
  3. Step 3: Cross multiply
    5,895.90x = 8,841.42 × 2,197.44
  4. Step 4: Simplify right side
    5,895.90x = 19,428,489.96
  5. Step 5: Solve for x
    x = 19,428,489.96/5,895.90
  6. Step 6: Final answer
    x = 3,295.25

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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.