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Finding the Fourth Proportional to 3,562.67, 5,344.50 and 1,097.69

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Solution

The fourth proportional to 3,562.67, 5,344.50 and 1,097.69 is: 1,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.67 : 5,344.50 = 1,097.69 : x
  2. Step 2: Convert to fraction form
    3,562.67/5,344.50 = 1,097.69/x
  3. Step 3: Cross multiply
    3,562.67x = 5,344.50 × 1,097.69
  4. Step 4: Simplify right side
    3,562.67x = 5,866,575.42
  5. Step 5: Solve for x
    x = 5,866,575.42/3,562.67
  6. Step 6: Final answer
    x = 1,646.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.