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Finding the Fourth Proportional to 5,058.96, 6,982.22 and 3,736.50

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Solution

The fourth proportional to 5,058.96, 6,982.22 and 3,736.50 is: 5,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.96 : 6,982.22 = 3,736.50 : x
  2. Step 2: Convert to fraction form
    5,058.96/6,982.22 = 3,736.50/x
  3. Step 3: Cross multiply
    5,058.96x = 6,982.22 × 3,736.50
  4. Step 4: Simplify right side
    5,058.96x = 26,089,065.03
  5. Step 5: Solve for x
    x = 26,089,065.03/5,058.96
  6. Step 6: Final answer
    x = 5,157.00

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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.