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Finding the Fourth Proportional to 5,149.37, 7,723.03 and 3,041.79

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Solution

The fourth proportional to 5,149.37, 7,723.03 and 3,041.79 is: 4,562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.37 : 7,723.03 = 3,041.79 : x
  2. Step 2: Convert to fraction form
    5,149.37/7,723.03 = 3,041.79/x
  3. Step 3: Cross multiply
    5,149.37x = 7,723.03 × 3,041.79
  4. Step 4: Simplify right side
    5,149.37x = 23,491,835.42
  5. Step 5: Solve for x
    x = 23,491,835.42/5,149.37
  6. Step 6: Final answer
    x = 4,562.08

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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.