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Finding the Fourth Proportional to 5,706.92, 8,546.39 and 4,713.66

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Solution

The fourth proportional to 5,706.92, 8,546.39 and 4,713.66 is: 7,058.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.92 : 8,546.39 = 4,713.66 : x
  2. Step 2: Convert to fraction form
    5,706.92/8,546.39 = 4,713.66/x
  3. Step 3: Cross multiply
    5,706.92x = 8,546.39 × 4,713.66
  4. Step 4: Simplify right side
    5,706.92x = 40,284,776.69
  5. Step 5: Solve for x
    x = 40,284,776.69/5,706.92
  6. Step 6: Final answer
    x = 7,058.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.