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Finding the Fourth Proportional to 4,110, 5,658.74 and 3,735.84

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Solution

The fourth proportional to 4,110, 5,658.74 and 3,735.84 is: 5,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,110 : 5,658.74 = 3,735.84 : x
  2. Step 2: Convert to fraction form
    4,110/5,658.74 = 3,735.84/x
  3. Step 3: Cross multiply
    4,110x = 5,658.74 × 3,735.84
  4. Step 4: Simplify right side
    4,110x = 21,140,147.24
  5. Step 5: Solve for x
    x = 21,140,147.24/4,110
  6. Step 6: Final answer
    x = 5,143.59

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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.