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Finding the Fourth Proportional to 4,016.61, 6,016 and 3,085.31

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Solution

The fourth proportional to 4,016.61, 6,016 and 3,085.31 is: 4,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016.61 : 6,016 = 3,085.31 : x
  2. Step 2: Convert to fraction form
    4,016.61/6,016 = 3,085.31/x
  3. Step 3: Cross multiply
    4,016.61x = 6,016 × 3,085.31
  4. Step 4: Simplify right side
    4,016.61x = 18,561,224.96
  5. Step 5: Solve for x
    x = 18,561,224.96/4,016.61
  6. Step 6: Final answer
    x = 4,621.12

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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.