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Finding the Fourth Proportional to 5,651.92, 7,798.92 and 3,134.01

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Solution

The fourth proportional to 5,651.92, 7,798.92 and 3,134.01 is: 4,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.92 : 7,798.92 = 3,134.01 : x
  2. Step 2: Convert to fraction form
    5,651.92/7,798.92 = 3,134.01/x
  3. Step 3: Cross multiply
    5,651.92x = 7,798.92 × 3,134.01
  4. Step 4: Simplify right side
    5,651.92x = 24,441,873.77
  5. Step 5: Solve for x
    x = 24,441,873.77/5,651.92
  6. Step 6: Final answer
    x = 4,324.53

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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.