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Finding the Fourth Proportional to 5,787.80, 8,671.84 and 4,135.92

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Solution

The fourth proportional to 5,787.80, 8,671.84 and 4,135.92 is: 6,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.80 : 8,671.84 = 4,135.92 : x
  2. Step 2: Convert to fraction form
    5,787.80/8,671.84 = 4,135.92/x
  3. Step 3: Cross multiply
    5,787.80x = 8,671.84 × 4,135.92
  4. Step 4: Simplify right side
    5,787.80x = 35,866,036.49
  5. Step 5: Solve for x
    x = 35,866,036.49/5,787.80
  6. Step 6: Final answer
    x = 6,196.83

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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.