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Finding the Fourth Proportional to 4,660.24, 6,983.46 and 3,178.48

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Solution

The fourth proportional to 4,660.24, 6,983.46 and 3,178.48 is: 4,763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.24 : 6,983.46 = 3,178.48 : x
  2. Step 2: Convert to fraction form
    4,660.24/6,983.46 = 3,178.48/x
  3. Step 3: Cross multiply
    4,660.24x = 6,983.46 × 3,178.48
  4. Step 4: Simplify right side
    4,660.24x = 22,196,787.94
  5. Step 5: Solve for x
    x = 22,196,787.94/4,660.24
  6. Step 6: Final answer
    x = 4,763.01

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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.