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Finding the Fourth Proportional to 5,752.53, 7,936.47 and 3,764.25

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Solution

The fourth proportional to 5,752.53, 7,936.47 and 3,764.25 is: 5,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.53 : 7,936.47 = 3,764.25 : x
  2. Step 2: Convert to fraction form
    5,752.53/7,936.47 = 3,764.25/x
  3. Step 3: Cross multiply
    5,752.53x = 7,936.47 × 3,764.25
  4. Step 4: Simplify right side
    5,752.53x = 29,874,857.20
  5. Step 5: Solve for x
    x = 29,874,857.20/5,752.53
  6. Step 6: Final answer
    x = 5,193.34

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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.