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Finding the Fourth Proportional to 3,543.64, 5,316.82 and 1,351.85

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Solution

The fourth proportional to 3,543.64, 5,316.82 and 1,351.85 is: 2,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.64 : 5,316.82 = 1,351.85 : x
  2. Step 2: Convert to fraction form
    3,543.64/5,316.82 = 1,351.85/x
  3. Step 3: Cross multiply
    3,543.64x = 5,316.82 × 1,351.85
  4. Step 4: Simplify right side
    3,543.64x = 7,187,543.12
  5. Step 5: Solve for x
    x = 7,187,543.12/3,543.64
  6. Step 6: Final answer
    x = 2,028.30

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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.