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Finding the Fourth Proportional to 4,950.38, 6,828.93 and 3,061.36

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Solution

The fourth proportional to 4,950.38, 6,828.93 and 3,061.36 is: 4,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.38 : 6,828.93 = 3,061.36 : x
  2. Step 2: Convert to fraction form
    4,950.38/6,828.93 = 3,061.36/x
  3. Step 3: Cross multiply
    4,950.38x = 6,828.93 × 3,061.36
  4. Step 4: Simplify right side
    4,950.38x = 20,905,813.14
  5. Step 5: Solve for x
    x = 20,905,813.14/4,950.38
  6. Step 6: Final answer
    x = 4,223.07

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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.