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Finding the Fourth Proportional to 4,807.36, 6,628.80 and 3,942.38

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Solution

The fourth proportional to 4,807.36, 6,628.80 and 3,942.38 is: 5,436.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.36 : 6,628.80 = 3,942.38 : x
  2. Step 2: Convert to fraction form
    4,807.36/6,628.80 = 3,942.38/x
  3. Step 3: Cross multiply
    4,807.36x = 6,628.80 × 3,942.38
  4. Step 4: Simplify right side
    4,807.36x = 26,133,248.54
  5. Step 5: Solve for x
    x = 26,133,248.54/4,807.36
  6. Step 6: Final answer
    x = 5,436.09

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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.