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Finding the Fourth Proportional to 4,205.95, 6,314.31 and 2,627.13

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Solution

The fourth proportional to 4,205.95, 6,314.31 and 2,627.13 is: 3,944.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.95 : 6,314.31 = 2,627.13 : x
  2. Step 2: Convert to fraction form
    4,205.95/6,314.31 = 2,627.13/x
  3. Step 3: Cross multiply
    4,205.95x = 6,314.31 × 2,627.13
  4. Step 4: Simplify right side
    4,205.95x = 16,588,513.23
  5. Step 5: Solve for x
    x = 16,588,513.23/4,205.95
  6. Step 6: Final answer
    x = 3,944.06

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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.