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Finding the Fourth Proportional to 5,979.17, 8,965.02 and 5,206.43

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Solution

The fourth proportional to 5,979.17, 8,965.02 and 5,206.43 is: 7,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.17 : 8,965.02 = 5,206.43 : x
  2. Step 2: Convert to fraction form
    5,979.17/8,965.02 = 5,206.43/x
  3. Step 3: Cross multiply
    5,979.17x = 8,965.02 × 5,206.43
  4. Step 4: Simplify right side
    5,979.17x = 46,675,749.08
  5. Step 5: Solve for x
    x = 46,675,749.08/5,979.17
  6. Step 6: Final answer
    x = 7,806.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.