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Finding the Fourth Proportional to 5,697.69, 7,862.82 and 3,458.97

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Solution

The fourth proportional to 5,697.69, 7,862.82 and 3,458.97 is: 4,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.69 : 7,862.82 = 3,458.97 : x
  2. Step 2: Convert to fraction form
    5,697.69/7,862.82 = 3,458.97/x
  3. Step 3: Cross multiply
    5,697.69x = 7,862.82 × 3,458.97
  4. Step 4: Simplify right side
    5,697.69x = 27,197,258.50
  5. Step 5: Solve for x
    x = 27,197,258.50/5,697.69
  6. Step 6: Final answer
    x = 4,773.38

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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.