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Finding the Fourth Proportional to 3,472, 5,208.56 and 2,383.36

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Solution

The fourth proportional to 3,472, 5,208.56 and 2,383.36 is: 3,575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472 : 5,208.56 = 2,383.36 : x
  2. Step 2: Convert to fraction form
    3,472/5,208.56 = 2,383.36/x
  3. Step 3: Cross multiply
    3,472x = 5,208.56 × 2,383.36
  4. Step 4: Simplify right side
    3,472x = 12,413,873.56
  5. Step 5: Solve for x
    x = 12,413,873.56/3,472
  6. Step 6: Final answer
    x = 3,575.42

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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.