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Finding the Fourth Proportional to 4,776.26, 6,591.33 and 2,787.38

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Solution

The fourth proportional to 4,776.26, 6,591.33 and 2,787.38 is: 3,846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.26 : 6,591.33 = 2,787.38 : x
  2. Step 2: Convert to fraction form
    4,776.26/6,591.33 = 2,787.38/x
  3. Step 3: Cross multiply
    4,776.26x = 6,591.33 × 2,787.38
  4. Step 4: Simplify right side
    4,776.26x = 18,372,541.42
  5. Step 5: Solve for x
    x = 18,372,541.42/4,776.26
  6. Step 6: Final answer
    x = 3,846.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.