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Finding the Fourth Proportional to 4,874.67, 6,725.30 and 2,777.58

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Solution

The fourth proportional to 4,874.67, 6,725.30 and 2,777.58 is: 3,832.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.67 : 6,725.30 = 2,777.58 : x
  2. Step 2: Convert to fraction form
    4,874.67/6,725.30 = 2,777.58/x
  3. Step 3: Cross multiply
    4,874.67x = 6,725.30 × 2,777.58
  4. Step 4: Simplify right side
    4,874.67x = 18,680,044.89
  5. Step 5: Solve for x
    x = 18,680,044.89/4,874.67
  6. Step 6: Final answer
    x = 3,832.06

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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.