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Finding the Fourth Proportional to 5,204.94, 7,807.41 and 1,309.38

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Solution

The fourth proportional to 5,204.94, 7,807.41 and 1,309.38 is: 1,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.94 : 7,807.41 = 1,309.38 : x
  2. Step 2: Convert to fraction form
    5,204.94/7,807.41 = 1,309.38/x
  3. Step 3: Cross multiply
    5,204.94x = 7,807.41 × 1,309.38
  4. Step 4: Simplify right side
    5,204.94x = 10,222,866.51
  5. Step 5: Solve for x
    x = 10,222,866.51/5,204.94
  6. Step 6: Final answer
    x = 1,964.07

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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.