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Finding the Fourth Proportional to 3,769.90, 5,187.16 and 3,095.22

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Solution

The fourth proportional to 3,769.90, 5,187.16 and 3,095.22 is: 4,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.90 : 5,187.16 = 3,095.22 : x
  2. Step 2: Convert to fraction form
    3,769.90/5,187.16 = 3,095.22/x
  3. Step 3: Cross multiply
    3,769.90x = 5,187.16 × 3,095.22
  4. Step 4: Simplify right side
    3,769.90x = 16,055,401.38
  5. Step 5: Solve for x
    x = 16,055,401.38/3,769.90
  6. Step 6: Final answer
    x = 4,258.84

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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.