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Finding the Fourth Proportional to 5,871.81, 8,801.78 and 3,682.07

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Solution

The fourth proportional to 5,871.81, 8,801.78 and 3,682.07 is: 5,519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.81 : 8,801.78 = 3,682.07 : x
  2. Step 2: Convert to fraction form
    5,871.81/8,801.78 = 3,682.07/x
  3. Step 3: Cross multiply
    5,871.81x = 8,801.78 × 3,682.07
  4. Step 4: Simplify right side
    5,871.81x = 32,408,770.08
  5. Step 5: Solve for x
    x = 32,408,770.08/5,871.81
  6. Step 6: Final answer
    x = 5,519.38

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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.