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Finding the Fourth Proportional to 3,543.20, 5,313.20 and 1,351.20

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Solution

The fourth proportional to 3,543.20, 5,313.20 and 1,351.20 is: 2,026.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.20 : 5,313.20 = 1,351.20 : x
  2. Step 2: Convert to fraction form
    3,543.20/5,313.20 = 1,351.20/x
  3. Step 3: Cross multiply
    3,543.20x = 5,313.20 × 1,351.20
  4. Step 4: Simplify right side
    3,543.20x = 7,179,195.84
  5. Step 5: Solve for x
    x = 7,179,195.84/3,543.20
  6. Step 6: Final answer
    x = 2,026.19

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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.