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Finding the Fourth Proportional to 5,660.21, 7,811.82 and 3,302.39

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Solution

The fourth proportional to 5,660.21, 7,811.82 and 3,302.39 is: 4,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.21 : 7,811.82 = 3,302.39 : x
  2. Step 2: Convert to fraction form
    5,660.21/7,811.82 = 3,302.39/x
  3. Step 3: Cross multiply
    5,660.21x = 7,811.82 × 3,302.39
  4. Step 4: Simplify right side
    5,660.21x = 25,797,695.78
  5. Step 5: Solve for x
    x = 25,797,695.78/5,660.21
  6. Step 6: Final answer
    x = 4,557.73

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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.