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Finding the Fourth Proportional to 3,834.70, 5,752.05 and 3,424.30

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Solution

The fourth proportional to 3,834.70, 5,752.05 and 3,424.30 is: 5,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.70 : 5,752.05 = 3,424.30 : x
  2. Step 2: Convert to fraction form
    3,834.70/5,752.05 = 3,424.30/x
  3. Step 3: Cross multiply
    3,834.70x = 5,752.05 × 3,424.30
  4. Step 4: Simplify right side
    3,834.70x = 19,696,744.82
  5. Step 5: Solve for x
    x = 19,696,744.82/3,834.70
  6. Step 6: Final answer
    x = 5,136.45

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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.