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Finding the Fourth Proportional to 4,163.64, 6,246.44 and 2,084.52

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Solution

The fourth proportional to 4,163.64, 6,246.44 and 2,084.52 is: 3,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.64 : 6,246.44 = 2,084.52 : x
  2. Step 2: Convert to fraction form
    4,163.64/6,246.44 = 2,084.52/x
  3. Step 3: Cross multiply
    4,163.64x = 6,246.44 × 2,084.52
  4. Step 4: Simplify right side
    4,163.64x = 13,020,829.11
  5. Step 5: Solve for x
    x = 13,020,829.11/4,163.64
  6. Step 6: Final answer
    x = 3,127.27

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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.