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Finding the Fourth Proportional to 5,809.61, 8,713.69 and 2,111.69

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Solution

The fourth proportional to 5,809.61, 8,713.69 and 2,111.69 is: 3,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.61 : 8,713.69 = 2,111.69 : x
  2. Step 2: Convert to fraction form
    5,809.61/8,713.69 = 2,111.69/x
  3. Step 3: Cross multiply
    5,809.61x = 8,713.69 × 2,111.69
  4. Step 4: Simplify right side
    5,809.61x = 18,400,612.04
  5. Step 5: Solve for x
    x = 18,400,612.04/5,809.61
  6. Step 6: Final answer
    x = 3,167.27

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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.