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Finding the Fourth Proportional to 5,382.57, 7,427.94 and 2,992.47

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Solution

The fourth proportional to 5,382.57, 7,427.94 and 2,992.47 is: 4,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.57 : 7,427.94 = 2,992.47 : x
  2. Step 2: Convert to fraction form
    5,382.57/7,427.94 = 2,992.47/x
  3. Step 3: Cross multiply
    5,382.57x = 7,427.94 × 2,992.47
  4. Step 4: Simplify right side
    5,382.57x = 22,227,848.54
  5. Step 5: Solve for x
    x = 22,227,848.54/5,382.57
  6. Step 6: Final answer
    x = 4,129.59

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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.