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Finding the Fourth Proportional to 3,777.31, 5,644.31 and 2,882.89

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Solution

The fourth proportional to 3,777.31, 5,644.31 and 2,882.89 is: 4,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.31 : 5,644.31 = 2,882.89 : x
  2. Step 2: Convert to fraction form
    3,777.31/5,644.31 = 2,882.89/x
  3. Step 3: Cross multiply
    3,777.31x = 5,644.31 × 2,882.89
  4. Step 4: Simplify right side
    3,777.31x = 16,271,924.86
  5. Step 5: Solve for x
    x = 16,271,924.86/3,777.31
  6. Step 6: Final answer
    x = 4,307.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.