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Finding the Fourth Proportional to 5,297.72, 7,946.58 and 1,834.97

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Solution

The fourth proportional to 5,297.72, 7,946.58 and 1,834.97 is: 2,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.72 : 7,946.58 = 1,834.97 : x
  2. Step 2: Convert to fraction form
    5,297.72/7,946.58 = 1,834.97/x
  3. Step 3: Cross multiply
    5,297.72x = 7,946.58 × 1,834.97
  4. Step 4: Simplify right side
    5,297.72x = 14,581,732.85
  5. Step 5: Solve for x
    x = 14,581,732.85/5,297.72
  6. Step 6: Final answer
    x = 2,752.46

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Similar ratio
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1.5x scale

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.