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Finding the Fourth Proportional to 3,626.94, 5,006.88 and 2,134.38

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Solution

The fourth proportional to 3,626.94, 5,006.88 and 2,134.38 is: 2,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.94 : 5,006.88 = 2,134.38 : x
  2. Step 2: Convert to fraction form
    3,626.94/5,006.88 = 2,134.38/x
  3. Step 3: Cross multiply
    3,626.94x = 5,006.88 × 2,134.38
  4. Step 4: Simplify right side
    3,626.94x = 10,686,584.53
  5. Step 5: Solve for x
    x = 10,686,584.53/3,626.94
  6. Step 6: Final answer
    x = 2,946.45

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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.