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Finding the Fourth Proportional to 5,150.65, 7,726.02 and 3,406.84

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Solution

The fourth proportional to 5,150.65, 7,726.02 and 3,406.84 is: 5,110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.65 : 7,726.02 = 3,406.84 : x
  2. Step 2: Convert to fraction form
    5,150.65/7,726.02 = 3,406.84/x
  3. Step 3: Cross multiply
    5,150.65x = 7,726.02 × 3,406.84
  4. Step 4: Simplify right side
    5,150.65x = 26,321,313.98
  5. Step 5: Solve for x
    x = 26,321,313.98/5,150.65
  6. Step 6: Final answer
    x = 5,110.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.