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Finding the Fourth Proportional to 5,738.00, 7,916.41 and 3,749.71

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Solution

The fourth proportional to 5,738.00, 7,916.41 and 3,749.71 is: 5,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.00 : 7,916.41 = 3,749.71 : x
  2. Step 2: Convert to fraction form
    5,738.00/7,916.41 = 3,749.71/x
  3. Step 3: Cross multiply
    5,738.00x = 7,916.41 × 3,749.71
  4. Step 4: Simplify right side
    5,738.00x = 29,684,212.58
  5. Step 5: Solve for x
    x = 29,684,212.58/5,738.00
  6. Step 6: Final answer
    x = 5,173.27

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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.