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Finding the Fourth Proportional to 3,551.44, 5,301.20 and 3,294.48

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Solution

The fourth proportional to 3,551.44, 5,301.20 and 3,294.48 is: 4,917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.44 : 5,301.20 = 3,294.48 : x
  2. Step 2: Convert to fraction form
    3,551.44/5,301.20 = 3,294.48/x
  3. Step 3: Cross multiply
    3,551.44x = 5,301.20 × 3,294.48
  4. Step 4: Simplify right side
    3,551.44x = 17,464,697.38
  5. Step 5: Solve for x
    x = 17,464,697.38/3,551.44
  6. Step 6: Final answer
    x = 4,917.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.