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Finding the Fourth Proportional to 5,369.96, 7,410.66 and 3,012.14

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Solution

The fourth proportional to 5,369.96, 7,410.66 and 3,012.14 is: 4,156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.96 : 7,410.66 = 3,012.14 : x
  2. Step 2: Convert to fraction form
    5,369.96/7,410.66 = 3,012.14/x
  3. Step 3: Cross multiply
    5,369.96x = 7,410.66 × 3,012.14
  4. Step 4: Simplify right side
    5,369.96x = 22,321,945.41
  5. Step 5: Solve for x
    x = 22,321,945.41/5,369.96
  6. Step 6: Final answer
    x = 4,156.82

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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.