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Finding the Fourth Proportional to 5,034, 6,946.92 and 2,826

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Solution

The fourth proportional to 5,034, 6,946.92 and 2,826 is: 3,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034 : 6,946.92 = 2,826 : x
  2. Step 2: Convert to fraction form
    5,034/6,946.92 = 2,826/x
  3. Step 3: Cross multiply
    5,034x = 6,946.92 × 2,826
  4. Step 4: Simplify right side
    5,034x = 19,631,995.92
  5. Step 5: Solve for x
    x = 19,631,995.92/5,034
  6. Step 6: Final answer
    x = 3,899.88

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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.