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Finding the Fourth Proportional to 4,777.00, 7,164.70 and 1,267.22

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Solution

The fourth proportional to 4,777.00, 7,164.70 and 1,267.22 is: 1,900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.00 : 7,164.70 = 1,267.22 : x
  2. Step 2: Convert to fraction form
    4,777.00/7,164.70 = 1,267.22/x
  3. Step 3: Cross multiply
    4,777.00x = 7,164.70 × 1,267.22
  4. Step 4: Simplify right side
    4,777.00x = 9,079,265.88
  5. Step 5: Solve for x
    x = 9,079,265.88/4,777.00
  6. Step 6: Final answer
    x = 1,900.62

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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.