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Finding the Fourth Proportional to 5,374.44, 7,420.14 and 3,695.31

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Solution

The fourth proportional to 5,374.44, 7,420.14 and 3,695.31 is: 5,101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.44 : 7,420.14 = 3,695.31 : x
  2. Step 2: Convert to fraction form
    5,374.44/7,420.14 = 3,695.31/x
  3. Step 3: Cross multiply
    5,374.44x = 7,420.14 × 3,695.31
  4. Step 4: Simplify right side
    5,374.44x = 27,419,717.54
  5. Step 5: Solve for x
    x = 27,419,717.54/5,374.44
  6. Step 6: Final answer
    x = 5,101.87

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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.