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Finding the Fourth Proportional to 5,935.11, 8,199.14 and 4,684.47

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Solution

The fourth proportional to 5,935.11, 8,199.14 and 4,684.47 is: 6,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.11 : 8,199.14 = 4,684.47 : x
  2. Step 2: Convert to fraction form
    5,935.11/8,199.14 = 4,684.47/x
  3. Step 3: Cross multiply
    5,935.11x = 8,199.14 × 4,684.47
  4. Step 4: Simplify right side
    5,935.11x = 38,408,601.93
  5. Step 5: Solve for x
    x = 38,408,601.93/5,935.11
  6. Step 6: Final answer
    x = 6,471.42

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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.