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Finding the Fourth Proportional to 4,174.74, 5,759.10 and 3,236.76

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Solution

The fourth proportional to 4,174.74, 5,759.10 and 3,236.76 is: 4,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.74 : 5,759.10 = 3,236.76 : x
  2. Step 2: Convert to fraction form
    4,174.74/5,759.10 = 3,236.76/x
  3. Step 3: Cross multiply
    4,174.74x = 5,759.10 × 3,236.76
  4. Step 4: Simplify right side
    4,174.74x = 18,640,824.52
  5. Step 5: Solve for x
    x = 18,640,824.52/4,174.74
  6. Step 6: Final answer
    x = 4,465.15

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