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Finding the Fourth Proportional to 5,697.75, 7,863.50 and 3,180.74

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Solution

The fourth proportional to 5,697.75, 7,863.50 and 3,180.74 is: 4,389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.75 : 7,863.50 = 3,180.74 : x
  2. Step 2: Convert to fraction form
    5,697.75/7,863.50 = 3,180.74/x
  3. Step 3: Cross multiply
    5,697.75x = 7,863.50 × 3,180.74
  4. Step 4: Simplify right side
    5,697.75x = 25,011,748.99
  5. Step 5: Solve for x
    x = 25,011,748.99/5,697.75
  6. Step 6: Final answer
    x = 4,389.76

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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.