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Finding the Fourth Proportional to 5,680.49, 8,522.64 and 2,906.42

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Solution

The fourth proportional to 5,680.49, 8,522.64 and 2,906.42 is: 4,360.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.49 : 8,522.64 = 2,906.42 : x
  2. Step 2: Convert to fraction form
    5,680.49/8,522.64 = 2,906.42/x
  3. Step 3: Cross multiply
    5,680.49x = 8,522.64 × 2,906.42
  4. Step 4: Simplify right side
    5,680.49x = 24,770,328.74
  5. Step 5: Solve for x
    x = 24,770,328.74/5,680.49
  6. Step 6: Final answer
    x = 4,360.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.