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Finding the Fourth Proportional to 4,016.54, 5,993.16 and 3,578.06

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Solution

The fourth proportional to 4,016.54, 5,993.16 and 3,578.06 is: 5,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016.54 : 5,993.16 = 3,578.06 : x
  2. Step 2: Convert to fraction form
    4,016.54/5,993.16 = 3,578.06/x
  3. Step 3: Cross multiply
    4,016.54x = 5,993.16 × 3,578.06
  4. Step 4: Simplify right side
    4,016.54x = 21,443,886.07
  5. Step 5: Solve for x
    x = 21,443,886.07/4,016.54
  6. Step 6: Final answer
    x = 5,338.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.