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Finding the Fourth Proportional to 5,494.30, 7,578.46 and 3,607.58

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Solution

The fourth proportional to 5,494.30, 7,578.46 and 3,607.58 is: 4,976.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.30 : 7,578.46 = 3,607.58 : x
  2. Step 2: Convert to fraction form
    5,494.30/7,578.46 = 3,607.58/x
  3. Step 3: Cross multiply
    5,494.30x = 7,578.46 × 3,607.58
  4. Step 4: Simplify right side
    5,494.30x = 27,339,900.73
  5. Step 5: Solve for x
    x = 27,339,900.73/5,494.30
  6. Step 6: Final answer
    x = 4,976.05

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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.