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Finding the Fourth Proportional to 5,695.46, 7,859.51 and 3,305.31

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Solution

The fourth proportional to 5,695.46, 7,859.51 and 3,305.31 is: 4,561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.46 : 7,859.51 = 3,305.31 : x
  2. Step 2: Convert to fraction form
    5,695.46/7,859.51 = 3,305.31/x
  3. Step 3: Cross multiply
    5,695.46x = 7,859.51 × 3,305.31
  4. Step 4: Simplify right side
    5,695.46x = 25,978,117.00
  5. Step 5: Solve for x
    x = 25,978,117.00/5,695.46
  6. Step 6: Final answer
    x = 4,561.20

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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.