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Finding the Fourth Proportional to 4,963.94, 7,447.32 and 4,048.16

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Solution

The fourth proportional to 4,963.94, 7,447.32 and 4,048.16 is: 6,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.94 : 7,447.32 = 4,048.16 : x
  2. Step 2: Convert to fraction form
    4,963.94/7,447.32 = 4,048.16/x
  3. Step 3: Cross multiply
    4,963.94x = 7,447.32 × 4,048.16
  4. Step 4: Simplify right side
    4,963.94x = 30,147,942.93
  5. Step 5: Solve for x
    x = 30,147,942.93/4,963.94
  6. Step 6: Final answer
    x = 6,073.39

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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.