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Finding the Fourth Proportional to 3,377.73, 5,065.61 and 1,297.58

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Solution

The fourth proportional to 3,377.73, 5,065.61 and 1,297.58 is: 1,945.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.73 : 5,065.61 = 1,297.58 : x
  2. Step 2: Convert to fraction form
    3,377.73/5,065.61 = 1,297.58/x
  3. Step 3: Cross multiply
    3,377.73x = 5,065.61 × 1,297.58
  4. Step 4: Simplify right side
    3,377.73x = 6,573,034.22
  5. Step 5: Solve for x
    x = 6,573,034.22/3,377.73
  6. Step 6: Final answer
    x = 1,945.99

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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.