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Finding the Fourth Proportional to 6,101.67, 8,420.54 and 3,449.37

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Solution

The fourth proportional to 6,101.67, 8,420.54 and 3,449.37 is: 4,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.67 : 8,420.54 = 3,449.37 : x
  2. Step 2: Convert to fraction form
    6,101.67/8,420.54 = 3,449.37/x
  3. Step 3: Cross multiply
    6,101.67x = 8,420.54 × 3,449.37
  4. Step 4: Simplify right side
    6,101.67x = 29,045,540.81
  5. Step 5: Solve for x
    x = 29,045,540.81/6,101.67
  6. Step 6: Final answer
    x = 4,760.26

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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.