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Finding the Fourth Proportional to 5,362.42, 8,034.74 and 3,794.66

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Solution

The fourth proportional to 5,362.42, 8,034.74 and 3,794.66 is: 5,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.42 : 8,034.74 = 3,794.66 : x
  2. Step 2: Convert to fraction form
    5,362.42/8,034.74 = 3,794.66/x
  3. Step 3: Cross multiply
    5,362.42x = 8,034.74 × 3,794.66
  4. Step 4: Simplify right side
    5,362.42x = 30,489,106.49
  5. Step 5: Solve for x
    x = 30,489,106.49/5,362.42
  6. Step 6: Final answer
    x = 5,685.70

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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.