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Finding the Fourth Proportional to 5,974.69, 8,245.12 and 3,737.84

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Solution

The fourth proportional to 5,974.69, 8,245.12 and 3,737.84 is: 5,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.69 : 8,245.12 = 3,737.84 : x
  2. Step 2: Convert to fraction form
    5,974.69/8,245.12 = 3,737.84/x
  3. Step 3: Cross multiply
    5,974.69x = 8,245.12 × 3,737.84
  4. Step 4: Simplify right side
    5,974.69x = 30,818,920.65
  5. Step 5: Solve for x
    x = 30,818,920.65/5,974.69
  6. Step 6: Final answer
    x = 5,158.25

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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.