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Finding the Fourth Proportional to 5,800.82, 8,005.14 and 3,148.23

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Solution

The fourth proportional to 5,800.82, 8,005.14 and 3,148.23 is: 4,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.82 : 8,005.14 = 3,148.23 : x
  2. Step 2: Convert to fraction form
    5,800.82/8,005.14 = 3,148.23/x
  3. Step 3: Cross multiply
    5,800.82x = 8,005.14 × 3,148.23
  4. Step 4: Simplify right side
    5,800.82x = 25,202,000.09
  5. Step 5: Solve for x
    x = 25,202,000.09/5,800.82
  6. Step 6: Final answer
    x = 4,344.56

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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.