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Finding the Fourth Proportional to 3,562.07, 5,343.61 and 1,097.09

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Solution

The fourth proportional to 3,562.07, 5,343.61 and 1,097.09 is: 1,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.07 : 5,343.61 = 1,097.09 : x
  2. Step 2: Convert to fraction form
    3,562.07/5,343.61 = 1,097.09/x
  3. Step 3: Cross multiply
    3,562.07x = 5,343.61 × 1,097.09
  4. Step 4: Simplify right side
    3,562.07x = 5,862,421.09
  5. Step 5: Solve for x
    x = 5,862,421.09/3,562.07
  6. Step 6: Final answer
    x = 1,645.79

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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.