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Finding the Fourth Proportional to 5,404.82, 7,458.64 and 3,046.94

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Solution

The fourth proportional to 5,404.82, 7,458.64 and 3,046.94 is: 4,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.82 : 7,458.64 = 3,046.94 : x
  2. Step 2: Convert to fraction form
    5,404.82/7,458.64 = 3,046.94/x
  3. Step 3: Cross multiply
    5,404.82x = 7,458.64 × 3,046.94
  4. Step 4: Simplify right side
    5,404.82x = 22,726,062.15
  5. Step 5: Solve for x
    x = 22,726,062.15/5,404.82
  6. Step 6: Final answer
    x = 4,204.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.