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Finding the Fourth Proportional to 5,012.19, 6,922.17 and 4,462.47

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Solution

The fourth proportional to 5,012.19, 6,922.17 and 4,462.47 is: 6,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.19 : 6,922.17 = 4,462.47 : x
  2. Step 2: Convert to fraction form
    5,012.19/6,922.17 = 4,462.47/x
  3. Step 3: Cross multiply
    5,012.19x = 6,922.17 × 4,462.47
  4. Step 4: Simplify right side
    5,012.19x = 30,889,975.96
  5. Step 5: Solve for x
    x = 30,889,975.96/5,012.19
  6. Step 6: Final answer
    x = 6,162.97

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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.