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Finding the Fourth Proportional to 4,945.65, 6,822.39 and 3,352.38

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Solution

The fourth proportional to 4,945.65, 6,822.39 and 3,352.38 is: 4,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.65 : 6,822.39 = 3,352.38 : x
  2. Step 2: Convert to fraction form
    4,945.65/6,822.39 = 3,352.38/x
  3. Step 3: Cross multiply
    4,945.65x = 6,822.39 × 3,352.38
  4. Step 4: Simplify right side
    4,945.65x = 22,871,243.79
  5. Step 5: Solve for x
    x = 22,871,243.79/4,945.65
  6. Step 6: Final answer
    x = 4,624.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.