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Finding the Fourth Proportional to 5,762.44, 7,952.12 and 3,244.56

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Solution

The fourth proportional to 5,762.44, 7,952.12 and 3,244.56 is: 4,477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.44 : 7,952.12 = 3,244.56 : x
  2. Step 2: Convert to fraction form
    5,762.44/7,952.12 = 3,244.56/x
  3. Step 3: Cross multiply
    5,762.44x = 7,952.12 × 3,244.56
  4. Step 4: Simplify right side
    5,762.44x = 25,801,114.84
  5. Step 5: Solve for x
    x = 25,801,114.84/5,762.44
  6. Step 6: Final answer
    x = 4,477.46

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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.