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Finding the Fourth Proportional to 5,762.52, 7,945 and 3,769.92

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Solution

The fourth proportional to 5,762.52, 7,945 and 3,769.92 is: 5,197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.52 : 7,945 = 3,769.92 : x
  2. Step 2: Convert to fraction form
    5,762.52/7,945 = 3,769.92/x
  3. Step 3: Cross multiply
    5,762.52x = 7,945 × 3,769.92
  4. Step 4: Simplify right side
    5,762.52x = 29,952,014.40
  5. Step 5: Solve for x
    x = 29,952,014.40/5,762.52
  6. Step 6: Final answer
    x = 5,197.73

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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.