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Finding the Fourth Proportional to 4,894.38, 6,754.24 and 2,798.55

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Solution

The fourth proportional to 4,894.38, 6,754.24 and 2,798.55 is: 3,862.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.38 : 6,754.24 = 2,798.55 : x
  2. Step 2: Convert to fraction form
    4,894.38/6,754.24 = 2,798.55/x
  3. Step 3: Cross multiply
    4,894.38x = 6,754.24 × 2,798.55
  4. Step 4: Simplify right side
    4,894.38x = 18,902,078.35
  5. Step 5: Solve for x
    x = 18,902,078.35/4,894.38
  6. Step 6: Final answer
    x = 3,862.00

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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.