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Finding the Fourth Proportional to 4,950.14, 7,436.81 and 4,669.92

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Solution

The fourth proportional to 4,950.14, 7,436.81 and 4,669.92 is: 7,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.14 : 7,436.81 = 4,669.92 : x
  2. Step 2: Convert to fraction form
    4,950.14/7,436.81 = 4,669.92/x
  3. Step 3: Cross multiply
    4,950.14x = 7,436.81 × 4,669.92
  4. Step 4: Simplify right side
    4,950.14x = 34,729,319.43
  5. Step 5: Solve for x
    x = 34,729,319.43/4,950.14
  6. Step 6: Final answer
    x = 7,015.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.