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Finding the Fourth Proportional to 5,809.74, 8,714.61 and 2,111.28

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Solution

The fourth proportional to 5,809.74, 8,714.61 and 2,111.28 is: 3,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.74 : 8,714.61 = 2,111.28 : x
  2. Step 2: Convert to fraction form
    5,809.74/8,714.61 = 2,111.28/x
  3. Step 3: Cross multiply
    5,809.74x = 8,714.61 × 2,111.28
  4. Step 4: Simplify right side
    5,809.74x = 18,398,981.80
  5. Step 5: Solve for x
    x = 18,398,981.80/5,809.74
  6. Step 6: Final answer
    x = 3,166.92

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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.