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Finding the Fourth Proportional to 5,964.32, 8,950.00 and 2,269.66

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Solution

The fourth proportional to 5,964.32, 8,950.00 and 2,269.66 is: 3,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.32 : 8,950.00 = 2,269.66 : x
  2. Step 2: Convert to fraction form
    5,964.32/8,950.00 = 2,269.66/x
  3. Step 3: Cross multiply
    5,964.32x = 8,950.00 × 2,269.66
  4. Step 4: Simplify right side
    5,964.32x = 20,313,400.90
  5. Step 5: Solve for x
    x = 20,313,400.90/5,964.32
  6. Step 6: Final answer
    x = 3,405.82

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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.