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Finding the Fourth Proportional to 4,706.92, 7,058.94 and 2,857.96

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Solution

The fourth proportional to 4,706.92, 7,058.94 and 2,857.96 is: 4,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.92 : 7,058.94 = 2,857.96 : x
  2. Step 2: Convert to fraction form
    4,706.92/7,058.94 = 2,857.96/x
  3. Step 3: Cross multiply
    4,706.92x = 7,058.94 × 2,857.96
  4. Step 4: Simplify right side
    4,706.92x = 20,174,168.16
  5. Step 5: Solve for x
    x = 20,174,168.16/4,706.92
  6. Step 6: Final answer
    x = 4,286.07

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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.