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Finding the Fourth Proportional to 3,953.72, 5,452.64 and 2,696.82

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Solution

The fourth proportional to 3,953.72, 5,452.64 and 2,696.82 is: 3,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.72 : 5,452.64 = 2,696.82 : x
  2. Step 2: Convert to fraction form
    3,953.72/5,452.64 = 2,696.82/x
  3. Step 3: Cross multiply
    3,953.72x = 5,452.64 × 2,696.82
  4. Step 4: Simplify right side
    3,953.72x = 14,704,788.60
  5. Step 5: Solve for x
    x = 14,704,788.60/3,953.72
  6. Step 6: Final answer
    x = 3,719.23

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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.