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Finding the Fourth Proportional to 4,676.72, 6,454.14 and 2,787.80

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Solution

The fourth proportional to 4,676.72, 6,454.14 and 2,787.80 is: 3,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.72 : 6,454.14 = 2,787.80 : x
  2. Step 2: Convert to fraction form
    4,676.72/6,454.14 = 2,787.80/x
  3. Step 3: Cross multiply
    4,676.72x = 6,454.14 × 2,787.80
  4. Step 4: Simplify right side
    4,676.72x = 17,992,851.49
  5. Step 5: Solve for x
    x = 17,992,851.49/4,676.72
  6. Step 6: Final answer
    x = 3,847.32

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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.