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Finding the Fourth Proportional to 3,834.73, 5,285.56 and 2,714.23

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Solution

The fourth proportional to 3,834.73, 5,285.56 and 2,714.23 is: 3,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.73 : 5,285.56 = 2,714.23 : x
  2. Step 2: Convert to fraction form
    3,834.73/5,285.56 = 2,714.23/x
  3. Step 3: Cross multiply
    3,834.73x = 5,285.56 × 2,714.23
  4. Step 4: Simplify right side
    3,834.73x = 14,346,231.95
  5. Step 5: Solve for x
    x = 14,346,231.95/3,834.73
  6. Step 6: Final answer
    x = 3,741.13

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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.