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Finding the Fourth Proportional to 5,752.55, 7,936.44 and 3,764.24

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Solution

The fourth proportional to 5,752.55, 7,936.44 and 3,764.24 is: 5,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.55 : 7,936.44 = 3,764.24 : x
  2. Step 2: Convert to fraction form
    5,752.55/7,936.44 = 3,764.24/x
  3. Step 3: Cross multiply
    5,752.55x = 7,936.44 × 3,764.24
  4. Step 4: Simplify right side
    5,752.55x = 29,874,664.91
  5. Step 5: Solve for x
    x = 29,874,664.91/5,752.55
  6. Step 6: Final answer
    x = 5,193.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.