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Finding the Fourth Proportional to 3,792.30, 5,202.26 and 3,743.70

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Solution

The fourth proportional to 3,792.30, 5,202.26 and 3,743.70 is: 5,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.30 : 5,202.26 = 3,743.70 : x
  2. Step 2: Convert to fraction form
    3,792.30/5,202.26 = 3,743.70/x
  3. Step 3: Cross multiply
    3,792.30x = 5,202.26 × 3,743.70
  4. Step 4: Simplify right side
    3,792.30x = 19,475,700.76
  5. Step 5: Solve for x
    x = 19,475,700.76/3,792.30
  6. Step 6: Final answer
    x = 5,135.59

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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.