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Finding the Fourth Proportional to 3,865.91, 5,334.62 and 2,187.38

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Solution

The fourth proportional to 3,865.91, 5,334.62 and 2,187.38 is: 3,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.91 : 5,334.62 = 2,187.38 : x
  2. Step 2: Convert to fraction form
    3,865.91/5,334.62 = 2,187.38/x
  3. Step 3: Cross multiply
    3,865.91x = 5,334.62 × 2,187.38
  4. Step 4: Simplify right side
    3,865.91x = 11,668,803.49
  5. Step 5: Solve for x
    x = 11,668,803.49/3,865.91
  6. Step 6: Final answer
    x = 3,018.39

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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.