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Finding the Fourth Proportional to 4,147.94, 5,724.18 and 2,284.94

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Solution

The fourth proportional to 4,147.94, 5,724.18 and 2,284.94 is: 3,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.94 : 5,724.18 = 2,284.94 : x
  2. Step 2: Convert to fraction form
    4,147.94/5,724.18 = 2,284.94/x
  3. Step 3: Cross multiply
    4,147.94x = 5,724.18 × 2,284.94
  4. Step 4: Simplify right side
    4,147.94x = 13,079,407.85
  5. Step 5: Solve for x
    x = 13,079,407.85/4,147.94
  6. Step 6: Final answer
    x = 3,153.23

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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.