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Finding the Fourth Proportional to 3,647.96, 5,471.97 and 1,567.82

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Solution

The fourth proportional to 3,647.96, 5,471.97 and 1,567.82 is: 2,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.96 : 5,471.97 = 1,567.82 : x
  2. Step 2: Convert to fraction form
    3,647.96/5,471.97 = 1,567.82/x
  3. Step 3: Cross multiply
    3,647.96x = 5,471.97 × 1,567.82
  4. Step 4: Simplify right side
    3,647.96x = 8,579,064.01
  5. Step 5: Solve for x
    x = 8,579,064.01/3,647.96
  6. Step 6: Final answer
    x = 2,351.74

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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.