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Finding the Fourth Proportional to 5,451.24, 7,509.38 and 3,954.76

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Solution

The fourth proportional to 5,451.24, 7,509.38 and 3,954.76 is: 5,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451.24 : 7,509.38 = 3,954.76 : x
  2. Step 2: Convert to fraction form
    5,451.24/7,509.38 = 3,954.76/x
  3. Step 3: Cross multiply
    5,451.24x = 7,509.38 × 3,954.76
  4. Step 4: Simplify right side
    5,451.24x = 29,697,795.65
  5. Step 5: Solve for x
    x = 29,697,795.65/5,451.24
  6. Step 6: Final answer
    x = 5,447.90

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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.