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Finding the Fourth Proportional to 3,562.48, 5,344.29 and 1,097.30

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Solution

The fourth proportional to 3,562.48, 5,344.29 and 1,097.30 is: 1,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.48 : 5,344.29 = 1,097.30 : x
  2. Step 2: Convert to fraction form
    3,562.48/5,344.29 = 1,097.30/x
  3. Step 3: Cross multiply
    3,562.48x = 5,344.29 × 1,097.30
  4. Step 4: Simplify right side
    3,562.48x = 5,864,278.80
  5. Step 5: Solve for x
    x = 5,864,278.80/3,562.48
  6. Step 6: Final answer
    x = 1,646.12

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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.