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Finding the Fourth Proportional to 3,792.42, 5,232.60 and 2,534.22

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Solution

The fourth proportional to 3,792.42, 5,232.60 and 2,534.22 is: 3,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.42 : 5,232.60 = 2,534.22 : x
  2. Step 2: Convert to fraction form
    3,792.42/5,232.60 = 2,534.22/x
  3. Step 3: Cross multiply
    3,792.42x = 5,232.60 × 2,534.22
  4. Step 4: Simplify right side
    3,792.42x = 13,260,559.57
  5. Step 5: Solve for x
    x = 13,260,559.57/3,792.42
  6. Step 6: Final answer
    x = 3,496.60

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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.