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Finding the Fourth Proportional to 5,629.74, 7,771.76 and 3,744.47

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Solution

The fourth proportional to 5,629.74, 7,771.76 and 3,744.47 is: 5,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.74 : 7,771.76 = 3,744.47 : x
  2. Step 2: Convert to fraction form
    5,629.74/7,771.76 = 3,744.47/x
  3. Step 3: Cross multiply
    5,629.74x = 7,771.76 × 3,744.47
  4. Step 4: Simplify right side
    5,629.74x = 29,101,122.17
  5. Step 5: Solve for x
    x = 29,101,122.17/5,629.74
  6. Step 6: Final answer
    x = 5,169.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.