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Finding the Fourth Proportional to 3,608.10, 5,412.15 and 3,161.70

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Solution

The fourth proportional to 3,608.10, 5,412.15 and 3,161.70 is: 4,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.10 : 5,412.15 = 3,161.70 : x
  2. Step 2: Convert to fraction form
    3,608.10/5,412.15 = 3,161.70/x
  3. Step 3: Cross multiply
    3,608.10x = 5,412.15 × 3,161.70
  4. Step 4: Simplify right side
    3,608.10x = 17,111,594.66
  5. Step 5: Solve for x
    x = 17,111,594.66/3,608.10
  6. Step 6: Final answer
    x = 4,742.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.