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Finding the Fourth Proportional to 3,564.46, 5,345.07 and 1,098.82

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Solution

The fourth proportional to 3,564.46, 5,345.07 and 1,098.82 is: 1,647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.46 : 5,345.07 = 1,098.82 : x
  2. Step 2: Convert to fraction form
    3,564.46/5,345.07 = 1,098.82/x
  3. Step 3: Cross multiply
    3,564.46x = 5,345.07 × 1,098.82
  4. Step 4: Simplify right side
    3,564.46x = 5,873,269.82
  5. Step 5: Solve for x
    x = 5,873,269.82/3,564.46
  6. Step 6: Final answer
    x = 1,647.73

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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.