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Finding the Fourth Proportional to 3,706.20, 5,110.02 and 3,181.32

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Solution

The fourth proportional to 3,706.20, 5,110.02 and 3,181.32 is: 4,386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.20 : 5,110.02 = 3,181.32 : x
  2. Step 2: Convert to fraction form
    3,706.20/5,110.02 = 3,181.32/x
  3. Step 3: Cross multiply
    3,706.20x = 5,110.02 × 3,181.32
  4. Step 4: Simplify right side
    3,706.20x = 16,256,608.83
  5. Step 5: Solve for x
    x = 16,256,608.83/3,706.20
  6. Step 6: Final answer
    x = 4,386.33

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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.