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Finding the Fourth Proportional to 5,764.74, 7,903.49 and 5,659.67

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Solution

The fourth proportional to 5,764.74, 7,903.49 and 5,659.67 is: 7,759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.74 : 7,903.49 = 5,659.67 : x
  2. Step 2: Convert to fraction form
    5,764.74/7,903.49 = 5,659.67/x
  3. Step 3: Cross multiply
    5,764.74x = 7,903.49 × 5,659.67
  4. Step 4: Simplify right side
    5,764.74x = 44,731,098.66
  5. Step 5: Solve for x
    x = 44,731,098.66/5,764.74
  6. Step 6: Final answer
    x = 7,759.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.