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Finding the Fourth Proportional to 5,695.31, 7,859.53 and 3,709.24

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Solution

The fourth proportional to 5,695.31, 7,859.53 and 3,709.24 is: 5,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.31 : 7,859.53 = 3,709.24 : x
  2. Step 2: Convert to fraction form
    5,695.31/7,859.53 = 3,709.24/x
  3. Step 3: Cross multiply
    5,695.31x = 7,859.53 × 3,709.24
  4. Step 4: Simplify right side
    5,695.31x = 29,152,912.25
  5. Step 5: Solve for x
    x = 29,152,912.25/5,695.31
  6. Step 6: Final answer
    x = 5,118.76

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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.