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Finding the Fourth Proportional to 5,145.76, 7,101.14 and 2,787.96

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Solution

The fourth proportional to 5,145.76, 7,101.14 and 2,787.96 is: 3,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.76 : 7,101.14 = 2,787.96 : x
  2. Step 2: Convert to fraction form
    5,145.76/7,101.14 = 2,787.96/x
  3. Step 3: Cross multiply
    5,145.76x = 7,101.14 × 2,787.96
  4. Step 4: Simplify right side
    5,145.76x = 19,797,694.27
  5. Step 5: Solve for x
    x = 19,797,694.27/5,145.76
  6. Step 6: Final answer
    x = 3,847.38

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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.