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Finding the Fourth Proportional to 5,023.86, 6,936.18 and 3,232.14

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Solution

The fourth proportional to 5,023.86, 6,936.18 and 3,232.14 is: 4,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023.86 : 6,936.18 = 3,232.14 : x
  2. Step 2: Convert to fraction form
    5,023.86/6,936.18 = 3,232.14/x
  3. Step 3: Cross multiply
    5,023.86x = 6,936.18 × 3,232.14
  4. Step 4: Simplify right side
    5,023.86x = 22,418,704.83
  5. Step 5: Solve for x
    x = 22,418,704.83/5,023.86
  6. Step 6: Final answer
    x = 4,462.45

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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.