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Finding the Fourth Proportional to 4,919.01, 6,787.98 and 2,823

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Solution

The fourth proportional to 4,919.01, 6,787.98 and 2,823 is: 3,895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,919.01 : 6,787.98 = 2,823 : x
  2. Step 2: Convert to fraction form
    4,919.01/6,787.98 = 2,823/x
  3. Step 3: Cross multiply
    4,919.01x = 6,787.98 × 2,823
  4. Step 4: Simplify right side
    4,919.01x = 19,162,467.54
  5. Step 5: Solve for x
    x = 19,162,467.54/4,919.01
  6. Step 6: Final answer
    x = 3,895.59

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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.