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Finding the Fourth Proportional to 5,493, 7,576.98 and 3,923.24

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Solution

The fourth proportional to 5,493, 7,576.98 and 3,923.24 is: 5,411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493 : 7,576.98 = 3,923.24 : x
  2. Step 2: Convert to fraction form
    5,493/7,576.98 = 3,923.24/x
  3. Step 3: Cross multiply
    5,493x = 7,576.98 × 3,923.24
  4. Step 4: Simplify right side
    5,493x = 29,726,311.02
  5. Step 5: Solve for x
    x = 29,726,311.02/5,493
  6. Step 6: Final answer
    x = 5,411.67

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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.