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Finding the Fourth Proportional to 5,696.72, 8,547.96 and 3,843.94

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Solution

The fourth proportional to 5,696.72, 8,547.96 and 3,843.94 is: 5,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.72 : 8,547.96 = 3,843.94 : x
  2. Step 2: Convert to fraction form
    5,696.72/8,547.96 = 3,843.94/x
  3. Step 3: Cross multiply
    5,696.72x = 8,547.96 × 3,843.94
  4. Step 4: Simplify right side
    5,696.72x = 32,857,845.36
  5. Step 5: Solve for x
    x = 32,857,845.36/5,696.72
  6. Step 6: Final answer
    x = 5,767.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.