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Finding the Fourth Proportional to 3,687.12, 5,536.22 and 3,172.72

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Solution

The fourth proportional to 3,687.12, 5,536.22 and 3,172.72 is: 4,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.12 : 5,536.22 = 3,172.72 : x
  2. Step 2: Convert to fraction form
    3,687.12/5,536.22 = 3,172.72/x
  3. Step 3: Cross multiply
    3,687.12x = 5,536.22 × 3,172.72
  4. Step 4: Simplify right side
    3,687.12x = 17,564,875.92
  5. Step 5: Solve for x
    x = 17,564,875.92/3,687.12
  6. Step 6: Final answer
    x = 4,763.85

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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.