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Finding the Fourth Proportional to 5,767.74, 8,644.93 and 3,133.22

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Solution

The fourth proportional to 5,767.74, 8,644.93 and 3,133.22 is: 4,696.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.74 : 8,644.93 = 3,133.22 : x
  2. Step 2: Convert to fraction form
    5,767.74/8,644.93 = 3,133.22/x
  3. Step 3: Cross multiply
    5,767.74x = 8,644.93 × 3,133.22
  4. Step 4: Simplify right side
    5,767.74x = 27,086,416.52
  5. Step 5: Solve for x
    x = 27,086,416.52/5,767.74
  6. Step 6: Final answer
    x = 4,696.19

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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.