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Finding the Fourth Proportional to 3,865.53, 5,798.33 and 1,092.14

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Solution

The fourth proportional to 3,865.53, 5,798.33 and 1,092.14 is: 1,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.53 : 5,798.33 = 1,092.14 : x
  2. Step 2: Convert to fraction form
    3,865.53/5,798.33 = 1,092.14/x
  3. Step 3: Cross multiply
    3,865.53x = 5,798.33 × 1,092.14
  4. Step 4: Simplify right side
    3,865.53x = 6,332,588.13
  5. Step 5: Solve for x
    x = 6,332,588.13/3,865.53
  6. Step 6: Final answer
    x = 1,638.22

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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.