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Finding the Fourth Proportional to 4,787.79, 7,184.49 and 2,014.24

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Solution

The fourth proportional to 4,787.79, 7,184.49 and 2,014.24 is: 3,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.79 : 7,184.49 = 2,014.24 : x
  2. Step 2: Convert to fraction form
    4,787.79/7,184.49 = 2,014.24/x
  3. Step 3: Cross multiply
    4,787.79x = 7,184.49 × 2,014.24
  4. Step 4: Simplify right side
    4,787.79x = 14,471,277.07
  5. Step 5: Solve for x
    x = 14,471,277.07/4,787.79
  6. Step 6: Final answer
    x = 3,022.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.