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Finding the Fourth Proportional to 3,898.89, 5,372.73 and 2,777.85

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Solution

The fourth proportional to 3,898.89, 5,372.73 and 2,777.85 is: 3,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.89 : 5,372.73 = 2,777.85 : x
  2. Step 2: Convert to fraction form
    3,898.89/5,372.73 = 2,777.85/x
  3. Step 3: Cross multiply
    3,898.89x = 5,372.73 × 2,777.85
  4. Step 4: Simplify right side
    3,898.89x = 14,924,638.03
  5. Step 5: Solve for x
    x = 14,924,638.03/3,898.89
  6. Step 6: Final answer
    x = 3,827.92

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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.