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Finding the Fourth Proportional to 4,922.34, 6,792.80 and 2,684.22

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Solution

The fourth proportional to 4,922.34, 6,792.80 and 2,684.22 is: 3,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.34 : 6,792.80 = 2,684.22 : x
  2. Step 2: Convert to fraction form
    4,922.34/6,792.80 = 2,684.22/x
  3. Step 3: Cross multiply
    4,922.34x = 6,792.80 × 2,684.22
  4. Step 4: Simplify right side
    4,922.34x = 18,233,356.19
  5. Step 5: Solve for x
    x = 18,233,356.19/4,922.34
  6. Step 6: Final answer
    x = 3,704.20

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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.