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Finding the Fourth Proportional to 5,371.88, 7,410.63 and 3,217.39

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Solution

The fourth proportional to 5,371.88, 7,410.63 and 3,217.39 is: 4,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.88 : 7,410.63 = 3,217.39 : x
  2. Step 2: Convert to fraction form
    5,371.88/7,410.63 = 3,217.39/x
  3. Step 3: Cross multiply
    5,371.88x = 7,410.63 × 3,217.39
  4. Step 4: Simplify right side
    5,371.88x = 23,842,872.72
  5. Step 5: Solve for x
    x = 23,842,872.72/5,371.88
  6. Step 6: Final answer
    x = 4,438.46

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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.