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Finding the Fourth Proportional to 5,965.82, 8,952.25 and 2,271.16

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Solution

The fourth proportional to 5,965.82, 8,952.25 and 2,271.16 is: 3,408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.82 : 8,952.25 = 2,271.16 : x
  2. Step 2: Convert to fraction form
    5,965.82/8,952.25 = 2,271.16/x
  3. Step 3: Cross multiply
    5,965.82x = 8,952.25 × 2,271.16
  4. Step 4: Simplify right side
    5,965.82x = 20,331,992.11
  5. Step 5: Solve for x
    x = 20,331,992.11/5,965.82
  6. Step 6: Final answer
    x = 3,408.08

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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.