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Finding the Fourth Proportional to 4,907.27, 6,773.27 and 3,314.40

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Solution

The fourth proportional to 4,907.27, 6,773.27 and 3,314.40 is: 4,574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.27 : 6,773.27 = 3,314.40 : x
  2. Step 2: Convert to fraction form
    4,907.27/6,773.27 = 3,314.40/x
  3. Step 3: Cross multiply
    4,907.27x = 6,773.27 × 3,314.40
  4. Step 4: Simplify right side
    4,907.27x = 22,449,309.52
  5. Step 5: Solve for x
    x = 22,449,309.52/4,907.27
  6. Step 6: Final answer
    x = 4,574.71

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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.