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Finding the Fourth Proportional to 5,846.06, 8,712.35 and 5,659.26

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Solution

The fourth proportional to 5,846.06, 8,712.35 and 5,659.26 is: 8,433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.06 : 8,712.35 = 5,659.26 : x
  2. Step 2: Convert to fraction form
    5,846.06/8,712.35 = 5,659.26/x
  3. Step 3: Cross multiply
    5,846.06x = 8,712.35 × 5,659.26
  4. Step 4: Simplify right side
    5,846.06x = 49,305,425.56
  5. Step 5: Solve for x
    x = 49,305,425.56/5,846.06
  6. Step 6: Final answer
    x = 8,433.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.