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Finding the Fourth Proportional to 5,352.31, 7,386.74 and 3,083.73

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Solution

The fourth proportional to 5,352.31, 7,386.74 and 3,083.73 is: 4,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.31 : 7,386.74 = 3,083.73 : x
  2. Step 2: Convert to fraction form
    5,352.31/7,386.74 = 3,083.73/x
  3. Step 3: Cross multiply
    5,352.31x = 7,386.74 × 3,083.73
  4. Step 4: Simplify right side
    5,352.31x = 22,778,711.74
  5. Step 5: Solve for x
    x = 22,778,711.74/5,352.31
  6. Step 6: Final answer
    x = 4,255.87

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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.