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Finding the Fourth Proportional to 4,874.70, 6,723.42 and 3,280.80

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Solution

The fourth proportional to 4,874.70, 6,723.42 and 3,280.80 is: 4,525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.70 : 6,723.42 = 3,280.80 : x
  2. Step 2: Convert to fraction form
    4,874.70/6,723.42 = 3,280.80/x
  3. Step 3: Cross multiply
    4,874.70x = 6,723.42 × 3,280.80
  4. Step 4: Simplify right side
    4,874.70x = 22,058,196.34
  5. Step 5: Solve for x
    x = 22,058,196.34/4,874.70
  6. Step 6: Final answer
    x = 4,525.04

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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.