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Finding the Fourth Proportional to 5,811.57, 8,714.61 and 2,111.20

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Solution

The fourth proportional to 5,811.57, 8,714.61 and 2,111.20 is: 3,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.57 : 8,714.61 = 2,111.20 : x
  2. Step 2: Convert to fraction form
    5,811.57/8,714.61 = 2,111.20/x
  3. Step 3: Cross multiply
    5,811.57x = 8,714.61 × 2,111.20
  4. Step 4: Simplify right side
    5,811.57x = 18,398,262.85
  5. Step 5: Solve for x
    x = 18,398,262.85/5,811.57
  6. Step 6: Final answer
    x = 3,165.80

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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.