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Finding the Fourth Proportional to 4,007.16, 5,993.22 and 2,442.84

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Solution

The fourth proportional to 4,007.16, 5,993.22 and 2,442.84 is: 3,653.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.16 : 5,993.22 = 2,442.84 : x
  2. Step 2: Convert to fraction form
    4,007.16/5,993.22 = 2,442.84/x
  3. Step 3: Cross multiply
    4,007.16x = 5,993.22 × 2,442.84
  4. Step 4: Simplify right side
    4,007.16x = 14,640,477.54
  5. Step 5: Solve for x
    x = 14,640,477.54/4,007.16
  6. Step 6: Final answer
    x = 3,653.58

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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.