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Finding the Fourth Proportional to 3,792.16, 5,238.29 and 3,438.48

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Solution

The fourth proportional to 3,792.16, 5,238.29 and 3,438.48 is: 4,749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.16 : 5,238.29 = 3,438.48 : x
  2. Step 2: Convert to fraction form
    3,792.16/5,238.29 = 3,438.48/x
  3. Step 3: Cross multiply
    3,792.16x = 5,238.29 × 3,438.48
  4. Step 4: Simplify right side
    3,792.16x = 18,011,738.21
  5. Step 5: Solve for x
    x = 18,011,738.21/3,792.16
  6. Step 6: Final answer
    x = 4,749.74

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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.