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Finding the Fourth Proportional to 3,808.46, 5,697.29 and 3,294.17

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Solution

The fourth proportional to 3,808.46, 5,697.29 and 3,294.17 is: 4,927.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.46 : 5,697.29 = 3,294.17 : x
  2. Step 2: Convert to fraction form
    3,808.46/5,697.29 = 3,294.17/x
  3. Step 3: Cross multiply
    3,808.46x = 5,697.29 × 3,294.17
  4. Step 4: Simplify right side
    3,808.46x = 18,767,824.38
  5. Step 5: Solve for x
    x = 18,767,824.38/3,808.46
  6. Step 6: Final answer
    x = 4,927.94

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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.