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Finding the Fourth Proportional to 4,849.38, 6,696.09 and 3,953.26

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Solution

The fourth proportional to 4,849.38, 6,696.09 and 3,953.26 is: 5,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.38 : 6,696.09 = 3,953.26 : x
  2. Step 2: Convert to fraction form
    4,849.38/6,696.09 = 3,953.26/x
  3. Step 3: Cross multiply
    4,849.38x = 6,696.09 × 3,953.26
  4. Step 4: Simplify right side
    4,849.38x = 26,471,384.75
  5. Step 5: Solve for x
    x = 26,471,384.75/4,849.38
  6. Step 6: Final answer
    x = 5,458.72

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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.