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Finding the Fourth Proportional to 3,771, 5,203.98 and 2,092.35

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Solution

The fourth proportional to 3,771, 5,203.98 and 2,092.35 is: 2,887.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771 : 5,203.98 = 2,092.35 : x
  2. Step 2: Convert to fraction form
    3,771/5,203.98 = 2,092.35/x
  3. Step 3: Cross multiply
    3,771x = 5,203.98 × 2,092.35
  4. Step 4: Simplify right side
    3,771x = 10,888,547.55
  5. Step 5: Solve for x
    x = 10,888,547.55/3,771
  6. Step 6: Final answer
    x = 2,887.44

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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.