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Finding the Fourth Proportional to 3,384.27, 5,076.51 and 919.08

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Solution

The fourth proportional to 3,384.27, 5,076.51 and 919.08 is: 1,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.27 : 5,076.51 = 919.08 : x
  2. Step 2: Convert to fraction form
    3,384.27/5,076.51 = 919.08/x
  3. Step 3: Cross multiply
    3,384.27x = 5,076.51 × 919.08
  4. Step 4: Simplify right side
    3,384.27x = 4,665,718.81
  5. Step 5: Solve for x
    x = 4,665,718.81/3,384.27
  6. Step 6: Final answer
    x = 1,378.65

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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.