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Finding the Fourth Proportional to 5,811.76, 8,714.80 and 2,062.27

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Solution

The fourth proportional to 5,811.76, 8,714.80 and 2,062.27 is: 3,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.76 : 8,714.80 = 2,062.27 : x
  2. Step 2: Convert to fraction form
    5,811.76/8,714.80 = 2,062.27/x
  3. Step 3: Cross multiply
    5,811.76x = 8,714.80 × 2,062.27
  4. Step 4: Simplify right side
    5,811.76x = 17,972,270.60
  5. Step 5: Solve for x
    x = 17,972,270.60/5,811.76
  6. Step 6: Final answer
    x = 3,092.40

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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.