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Finding the Fourth Proportional to 4,977.10, 7,467 and 2,787.40

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Solution

The fourth proportional to 4,977.10, 7,467 and 2,787.40 is: 4,181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.10 : 7,467 = 2,787.40 : x
  2. Step 2: Convert to fraction form
    4,977.10/7,467 = 2,787.40/x
  3. Step 3: Cross multiply
    4,977.10x = 7,467 × 2,787.40
  4. Step 4: Simplify right side
    4,977.10x = 20,813,515.80
  5. Step 5: Solve for x
    x = 20,813,515.80/4,977.10
  6. Step 6: Final answer
    x = 4,181.86

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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.