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Finding the Fourth Proportional to 4,169.36, 5,747.10 and 3,283.76

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Solution

The fourth proportional to 4,169.36, 5,747.10 and 3,283.76 is: 4,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.36 : 5,747.10 = 3,283.76 : x
  2. Step 2: Convert to fraction form
    4,169.36/5,747.10 = 3,283.76/x
  3. Step 3: Cross multiply
    4,169.36x = 5,747.10 × 3,283.76
  4. Step 4: Simplify right side
    4,169.36x = 18,872,097.10
  5. Step 5: Solve for x
    x = 18,872,097.10/4,169.36
  6. Step 6: Final answer
    x = 4,526.38

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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.