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Finding the Fourth Proportional to 5,764.14, 8,654.22 and 4,005

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Solution

The fourth proportional to 5,764.14, 8,654.22 and 4,005 is: 6,013.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.14 : 8,654.22 = 4,005 : x
  2. Step 2: Convert to fraction form
    5,764.14/8,654.22 = 4,005/x
  3. Step 3: Cross multiply
    5,764.14x = 8,654.22 × 4,005
  4. Step 4: Simplify right side
    5,764.14x = 34,660,151.10
  5. Step 5: Solve for x
    x = 34,660,151.10/5,764.14
  6. Step 6: Final answer
    x = 6,013.07

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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.