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Finding the Fourth Proportional to 5,696.79, 7,863.97 and 3,459.39

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Solution

The fourth proportional to 5,696.79, 7,863.97 and 3,459.39 is: 4,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.79 : 7,863.97 = 3,459.39 : x
  2. Step 2: Convert to fraction form
    5,696.79/7,863.97 = 3,459.39/x
  3. Step 3: Cross multiply
    5,696.79x = 7,863.97 × 3,459.39
  4. Step 4: Simplify right side
    5,696.79x = 27,204,549.77
  5. Step 5: Solve for x
    x = 27,204,549.77/5,696.79
  6. Step 6: Final answer
    x = 4,775.41

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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.