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Finding the Fourth Proportional to 4,093.58, 6,140.77 and 1,627.85

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Solution

The fourth proportional to 4,093.58, 6,140.77 and 1,627.85 is: 2,441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.58 : 6,140.77 = 1,627.85 : x
  2. Step 2: Convert to fraction form
    4,093.58/6,140.77 = 1,627.85/x
  3. Step 3: Cross multiply
    4,093.58x = 6,140.77 × 1,627.85
  4. Step 4: Simplify right side
    4,093.58x = 9,996,252.44
  5. Step 5: Solve for x
    x = 9,996,252.44/4,093.58
  6. Step 6: Final answer
    x = 2,441.93

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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.