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Finding the Fourth Proportional to 5,695.35, 7,857.39 and 3,456.42

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Solution

The fourth proportional to 5,695.35, 7,857.39 and 3,456.42 is: 4,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.35 : 7,857.39 = 3,456.42 : x
  2. Step 2: Convert to fraction form
    5,695.35/7,857.39 = 3,456.42/x
  3. Step 3: Cross multiply
    5,695.35x = 7,857.39 × 3,456.42
  4. Step 4: Simplify right side
    5,695.35x = 27,158,439.94
  5. Step 5: Solve for x
    x = 27,158,439.94/5,695.35
  6. Step 6: Final answer
    x = 4,768.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.