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Finding the Fourth Proportional to 3,606.72, 4,974.67 and 2,785.14

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Solution

The fourth proportional to 3,606.72, 4,974.67 and 2,785.14 is: 3,841.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.72 : 4,974.67 = 2,785.14 : x
  2. Step 2: Convert to fraction form
    3,606.72/4,974.67 = 2,785.14/x
  3. Step 3: Cross multiply
    3,606.72x = 4,974.67 × 2,785.14
  4. Step 4: Simplify right side
    3,606.72x = 13,855,127.53
  5. Step 5: Solve for x
    x = 13,855,127.53/3,606.72
  6. Step 6: Final answer
    x = 3,841.48

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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.