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Finding the Fourth Proportional to 3,562.99, 5,344.63 and 1,097.83

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Solution

The fourth proportional to 3,562.99, 5,344.63 and 1,097.83 is: 1,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.99 : 5,344.63 = 1,097.83 : x
  2. Step 2: Convert to fraction form
    3,562.99/5,344.63 = 1,097.83/x
  3. Step 3: Cross multiply
    3,562.99x = 5,344.63 × 1,097.83
  4. Step 4: Simplify right side
    3,562.99x = 5,867,490.23
  5. Step 5: Solve for x
    x = 5,867,490.23/3,562.99
  6. Step 6: Final answer
    x = 1,646.79

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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.