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Finding the Fourth Proportional to 5,764.57, 8,642.60 and 2,015.38

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Solution

The fourth proportional to 5,764.57, 8,642.60 and 2,015.38 is: 3,021.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.57 : 8,642.60 = 2,015.38 : x
  2. Step 2: Convert to fraction form
    5,764.57/8,642.60 = 2,015.38/x
  3. Step 3: Cross multiply
    5,764.57x = 8,642.60 × 2,015.38
  4. Step 4: Simplify right side
    5,764.57x = 17,418,131.47
  5. Step 5: Solve for x
    x = 17,418,131.47/5,764.57
  6. Step 6: Final answer
    x = 3,021.59

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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.