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Finding the Fourth Proportional to 3,682.56, 5,525.76 and 2,142.72

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Solution

The fourth proportional to 3,682.56, 5,525.76 and 2,142.72 is: 3,215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.56 : 5,525.76 = 2,142.72 : x
  2. Step 2: Convert to fraction form
    3,682.56/5,525.76 = 2,142.72/x
  3. Step 3: Cross multiply
    3,682.56x = 5,525.76 × 2,142.72
  4. Step 4: Simplify right side
    3,682.56x = 11,840,156.47
  5. Step 5: Solve for x
    x = 11,840,156.47/3,682.56
  6. Step 6: Final answer
    x = 3,215.20

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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.