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Finding the Fourth Proportional to 4,640.06, 6,403.56 and 2,847.74

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Solution

The fourth proportional to 4,640.06, 6,403.56 and 2,847.74 is: 3,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.06 : 6,403.56 = 2,847.74 : x
  2. Step 2: Convert to fraction form
    4,640.06/6,403.56 = 2,847.74/x
  3. Step 3: Cross multiply
    4,640.06x = 6,403.56 × 2,847.74
  4. Step 4: Simplify right side
    4,640.06x = 18,235,673.95
  5. Step 5: Solve for x
    x = 18,235,673.95/4,640.06
  6. Step 6: Final answer
    x = 3,930.05

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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.