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Finding the Fourth Proportional to 9,058.71, 13,583.75 and 3,861.75

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Solution

The fourth proportional to 9,058.71, 13,583.75 and 3,861.75 is: 5,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,058.71 : 13,583.75 = 3,861.75 : x
  2. Step 2: Convert to fraction form
    9,058.71/13,583.75 = 3,861.75/x
  3. Step 3: Cross multiply
    9,058.71x = 13,583.75 × 3,861.75
  4. Step 4: Simplify right side
    9,058.71x = 52,457,027.25
  5. Step 5: Solve for x
    x = 52,457,027.25/9,058.71
  6. Step 6: Final answer
    x = 5,790.78

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Why These Related Problems?

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