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Finding the Fourth Proportional to 3,351.70, 5,027.82 and 886.53

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Solution

The fourth proportional to 3,351.70, 5,027.82 and 886.53 is: 1,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,351.70 : 5,027.82 = 886.53 : x
  2. Step 2: Convert to fraction form
    3,351.70/5,027.82 = 886.53/x
  3. Step 3: Cross multiply
    3,351.70x = 5,027.82 × 886.53
  4. Step 4: Simplify right side
    3,351.70x = 4,457,313.26
  5. Step 5: Solve for x
    x = 4,457,313.26/3,351.70
  6. Step 6: Final answer
    x = 1,329.87

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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.