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Finding the Fourth Proportional to 4,491.27, 6,737.06 and 2,297.43

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Solution

The fourth proportional to 4,491.27, 6,737.06 and 2,297.43 is: 3,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.27 : 6,737.06 = 2,297.43 : x
  2. Step 2: Convert to fraction form
    4,491.27/6,737.06 = 2,297.43/x
  3. Step 3: Cross multiply
    4,491.27x = 6,737.06 × 2,297.43
  4. Step 4: Simplify right side
    4,491.27x = 15,477,929.50
  5. Step 5: Solve for x
    x = 15,477,929.50/4,491.27
  6. Step 6: Final answer
    x = 3,446.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.