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Finding the Fourth Proportional to 5,627.12, 8,405.59 and 4,169.12

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Solution

The fourth proportional to 5,627.12, 8,405.59 and 4,169.12 is: 6,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.12 : 8,405.59 = 4,169.12 : x
  2. Step 2: Convert to fraction form
    5,627.12/8,405.59 = 4,169.12/x
  3. Step 3: Cross multiply
    5,627.12x = 8,405.59 × 4,169.12
  4. Step 4: Simplify right side
    5,627.12x = 35,043,913.38
  5. Step 5: Solve for x
    x = 35,043,913.38/5,627.12
  6. Step 6: Final answer
    x = 6,227.68

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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.