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Finding the Fourth Proportional to 4,960.47, 7,436.93 and 3,867.15

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Solution

The fourth proportional to 4,960.47, 7,436.93 and 3,867.15 is: 5,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.47 : 7,436.93 = 3,867.15 : x
  2. Step 2: Convert to fraction form
    4,960.47/7,436.93 = 3,867.15/x
  3. Step 3: Cross multiply
    4,960.47x = 7,436.93 × 3,867.15
  4. Step 4: Simplify right side
    4,960.47x = 28,759,704.51
  5. Step 5: Solve for x
    x = 28,759,704.51/4,960.47
  6. Step 6: Final answer
    x = 5,797.78

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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.