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Finding the Fourth Proportional to 3,276.66, 4,902.57 and 2,354.34

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Solution

The fourth proportional to 3,276.66, 4,902.57 and 2,354.34 is: 3,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.66 : 4,902.57 = 2,354.34 : x
  2. Step 2: Convert to fraction form
    3,276.66/4,902.57 = 2,354.34/x
  3. Step 3: Cross multiply
    3,276.66x = 4,902.57 × 2,354.34
  4. Step 4: Simplify right side
    3,276.66x = 11,542,316.65
  5. Step 5: Solve for x
    x = 11,542,316.65/3,276.66
  6. Step 6: Final answer
    x = 3,522.59

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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.