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Finding the Fourth Proportional to 5,834.74, 8,051.92 and 3,182.14

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Solution

The fourth proportional to 5,834.74, 8,051.92 and 3,182.14 is: 4,391.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.74 : 8,051.92 = 3,182.14 : x
  2. Step 2: Convert to fraction form
    5,834.74/8,051.92 = 3,182.14/x
  3. Step 3: Cross multiply
    5,834.74x = 8,051.92 × 3,182.14
  4. Step 4: Simplify right side
    5,834.74x = 25,622,336.71
  5. Step 5: Solve for x
    x = 25,622,336.71/5,834.74
  6. Step 6: Final answer
    x = 4,391.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.