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Finding the Fourth Proportional to 5,809.43, 8,712.92 and 1,911.71

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Solution

The fourth proportional to 5,809.43, 8,712.92 and 1,911.71 is: 2,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.43 : 8,712.92 = 1,911.71 : x
  2. Step 2: Convert to fraction form
    5,809.43/8,712.92 = 1,911.71/x
  3. Step 3: Cross multiply
    5,809.43x = 8,712.92 × 1,911.71
  4. Step 4: Simplify right side
    5,809.43x = 16,656,523.17
  5. Step 5: Solve for x
    x = 16,656,523.17/5,809.43
  6. Step 6: Final answer
    x = 2,867.16

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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.