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Finding the Fourth Proportional to 3,384.11, 5,076.53 and 918.97

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Solution

The fourth proportional to 3,384.11, 5,076.53 and 918.97 is: 1,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.11 : 5,076.53 = 918.97 : x
  2. Step 2: Convert to fraction form
    3,384.11/5,076.53 = 918.97/x
  3. Step 3: Cross multiply
    3,384.11x = 5,076.53 × 918.97
  4. Step 4: Simplify right side
    3,384.11x = 4,665,178.77
  5. Step 5: Solve for x
    x = 4,665,178.77/3,384.11
  6. Step 6: Final answer
    x = 1,378.55

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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.