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Finding the Fourth Proportional to 5,129.37, 7,691.12 and 3,050.83

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Solution

The fourth proportional to 5,129.37, 7,691.12 and 3,050.83 is: 4,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.37 : 7,691.12 = 3,050.83 : x
  2. Step 2: Convert to fraction form
    5,129.37/7,691.12 = 3,050.83/x
  3. Step 3: Cross multiply
    5,129.37x = 7,691.12 × 3,050.83
  4. Step 4: Simplify right side
    5,129.37x = 23,464,262.17
  5. Step 5: Solve for x
    x = 23,464,262.17/5,129.37
  6. Step 6: Final answer
    x = 4,574.49

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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.