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Finding the Fourth Proportional to 4,986.78, 7,436.16 and 4,942.35

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Solution

The fourth proportional to 4,986.78, 7,436.16 and 4,942.35 is: 7,369.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.78 : 7,436.16 = 4,942.35 : x
  2. Step 2: Convert to fraction form
    4,986.78/7,436.16 = 4,942.35/x
  3. Step 3: Cross multiply
    4,986.78x = 7,436.16 × 4,942.35
  4. Step 4: Simplify right side
    4,986.78x = 36,752,105.38
  5. Step 5: Solve for x
    x = 36,752,105.38/4,986.78
  6. Step 6: Final answer
    x = 7,369.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.