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Finding the Fourth Proportional to 3,561.87, 5,343.84 and 1,097.04

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Solution

The fourth proportional to 3,561.87, 5,343.84 and 1,097.04 is: 1,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.87 : 5,343.84 = 1,097.04 : x
  2. Step 2: Convert to fraction form
    3,561.87/5,343.84 = 1,097.04/x
  3. Step 3: Cross multiply
    3,561.87x = 5,343.84 × 1,097.04
  4. Step 4: Simplify right side
    3,561.87x = 5,862,406.23
  5. Step 5: Solve for x
    x = 5,862,406.23/3,561.87
  6. Step 6: Final answer
    x = 1,645.88

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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.