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Finding the Fourth Proportional to 5,809.17, 8,713.62 and 1,426.62

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Solution

The fourth proportional to 5,809.17, 8,713.62 and 1,426.62 is: 2,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.17 : 8,713.62 = 1,426.62 : x
  2. Step 2: Convert to fraction form
    5,809.17/8,713.62 = 1,426.62/x
  3. Step 3: Cross multiply
    5,809.17x = 8,713.62 × 1,426.62
  4. Step 4: Simplify right side
    5,809.17x = 12,431,024.56
  5. Step 5: Solve for x
    x = 12,431,024.56/5,809.17
  6. Step 6: Final answer
    x = 2,139.90

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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.