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Finding the Fourth Proportional to 5,627.71, 8,441.93 and 2,164.96

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Solution

The fourth proportional to 5,627.71, 8,441.93 and 2,164.96 is: 3,247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.71 : 8,441.93 = 2,164.96 : x
  2. Step 2: Convert to fraction form
    5,627.71/8,441.93 = 2,164.96/x
  3. Step 3: Cross multiply
    5,627.71x = 8,441.93 × 2,164.96
  4. Step 4: Simplify right side
    5,627.71x = 18,276,429.95
  5. Step 5: Solve for x
    x = 18,276,429.95/5,627.71
  6. Step 6: Final answer
    x = 3,247.58

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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.