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Finding the Fourth Proportional to 5,787.54, 8,677.26 and 2,863.98

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Solution

The fourth proportional to 5,787.54, 8,677.26 and 2,863.98 is: 4,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.54 : 8,677.26 = 2,863.98 : x
  2. Step 2: Convert to fraction form
    5,787.54/8,677.26 = 2,863.98/x
  3. Step 3: Cross multiply
    5,787.54x = 8,677.26 × 2,863.98
  4. Step 4: Simplify right side
    5,787.54x = 24,851,499.09
  5. Step 5: Solve for x
    x = 24,851,499.09/5,787.54
  6. Step 6: Final answer
    x = 4,293.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.