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Finding the Fourth Proportional to 4,191.75, 5,787.05 and 2,796.93

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Solution

The fourth proportional to 4,191.75, 5,787.05 and 2,796.93 is: 3,861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.75 : 5,787.05 = 2,796.93 : x
  2. Step 2: Convert to fraction form
    4,191.75/5,787.05 = 2,796.93/x
  3. Step 3: Cross multiply
    4,191.75x = 5,787.05 × 2,796.93
  4. Step 4: Simplify right side
    4,191.75x = 16,185,959.77
  5. Step 5: Solve for x
    x = 16,185,959.77/4,191.75
  6. Step 6: Final answer
    x = 3,861.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.