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Finding the Fourth Proportional to 4,753.87, 7,133.87 and 2,564.12

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Solution

The fourth proportional to 4,753.87, 7,133.87 and 2,564.12 is: 3,847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.87 : 7,133.87 = 2,564.12 : x
  2. Step 2: Convert to fraction form
    4,753.87/7,133.87 = 2,564.12/x
  3. Step 3: Cross multiply
    4,753.87x = 7,133.87 × 2,564.12
  4. Step 4: Simplify right side
    4,753.87x = 18,292,085.92
  5. Step 5: Solve for x
    x = 18,292,085.92/4,753.87
  6. Step 6: Final answer
    x = 3,847.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.