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Finding the Fourth Proportional to 5,763.94, 7,952.97 and 3,404.86

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Solution

The fourth proportional to 5,763.94, 7,952.97 and 3,404.86 is: 4,697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.94 : 7,952.97 = 3,404.86 : x
  2. Step 2: Convert to fraction form
    5,763.94/7,952.97 = 3,404.86/x
  3. Step 3: Cross multiply
    5,763.94x = 7,952.97 × 3,404.86
  4. Step 4: Simplify right side
    5,763.94x = 27,078,749.43
  5. Step 5: Solve for x
    x = 27,078,749.43/5,763.94
  6. Step 6: Final answer
    x = 4,697.96

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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.