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Finding the Fourth Proportional to 5,759.62, 7,946.86 and 3,520.68

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Solution

The fourth proportional to 5,759.62, 7,946.86 and 3,520.68 is: 4,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.62 : 7,946.86 = 3,520.68 : x
  2. Step 2: Convert to fraction form
    5,759.62/7,946.86 = 3,520.68/x
  3. Step 3: Cross multiply
    5,759.62x = 7,946.86 × 3,520.68
  4. Step 4: Simplify right side
    5,759.62x = 27,978,330.24
  5. Step 5: Solve for x
    x = 27,978,330.24/5,759.62
  6. Step 6: Final answer
    x = 4,857.67

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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.