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Finding the Fourth Proportional to 5,809.16, 8,713.98 and 2,729

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Solution

The fourth proportional to 5,809.16, 8,713.98 and 2,729 is: 4,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.16 : 8,713.98 = 2,729 : x
  2. Step 2: Convert to fraction form
    5,809.16/8,713.98 = 2,729/x
  3. Step 3: Cross multiply
    5,809.16x = 8,713.98 × 2,729
  4. Step 4: Simplify right side
    5,809.16x = 23,780,451.42
  5. Step 5: Solve for x
    x = 23,780,451.42/5,809.16
  6. Step 6: Final answer
    x = 4,093.61

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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.