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Finding the Fourth Proportional to 3,792.24, 5,212.17 and 3,347.46

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Solution

The fourth proportional to 3,792.24, 5,212.17 and 3,347.46 is: 4,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.24 : 5,212.17 = 3,347.46 : x
  2. Step 2: Convert to fraction form
    3,792.24/5,212.17 = 3,347.46/x
  3. Step 3: Cross multiply
    3,792.24x = 5,212.17 × 3,347.46
  4. Step 4: Simplify right side
    3,792.24x = 17,447,530.59
  5. Step 5: Solve for x
    x = 17,447,530.59/3,792.24
  6. Step 6: Final answer
    x = 4,600.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.