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Finding the Fourth Proportional to 5,874.66, 8,107.20 and 3,357

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Solution

The fourth proportional to 5,874.66, 8,107.20 and 3,357 is: 4,632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.66 : 8,107.20 = 3,357 : x
  2. Step 2: Convert to fraction form
    5,874.66/8,107.20 = 3,357/x
  3. Step 3: Cross multiply
    5,874.66x = 8,107.20 × 3,357
  4. Step 4: Simplify right side
    5,874.66x = 27,215,870.40
  5. Step 5: Solve for x
    x = 27,215,870.40/5,874.66
  6. Step 6: Final answer
    x = 4,632.76

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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.