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Finding the Fourth Proportional to 4,776.84, 6,592.02 and 2,787.48

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Solution

The fourth proportional to 4,776.84, 6,592.02 and 2,787.48 is: 3,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.84 : 6,592.02 = 2,787.48 : x
  2. Step 2: Convert to fraction form
    4,776.84/6,592.02 = 2,787.48/x
  3. Step 3: Cross multiply
    4,776.84x = 6,592.02 × 2,787.48
  4. Step 4: Simplify right side
    4,776.84x = 18,375,123.91
  5. Step 5: Solve for x
    x = 18,375,123.91/4,776.84
  6. Step 6: Final answer
    x = 3,846.71

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