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Finding the Fourth Proportional to 4,012.49, 6,016.43 and 1,546.99

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Solution

The fourth proportional to 4,012.49, 6,016.43 and 1,546.99 is: 2,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.49 : 6,016.43 = 1,546.99 : x
  2. Step 2: Convert to fraction form
    4,012.49/6,016.43 = 1,546.99/x
  3. Step 3: Cross multiply
    4,012.49x = 6,016.43 × 1,546.99
  4. Step 4: Simplify right side
    4,012.49x = 9,307,357.05
  5. Step 5: Solve for x
    x = 9,307,357.05/4,012.49
  6. Step 6: Final answer
    x = 2,319.60

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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.