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Finding the Fourth Proportional to 3,055.68, 4,216.56 and 2,427.78

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Solution

The fourth proportional to 3,055.68, 4,216.56 and 2,427.78 is: 3,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.68 : 4,216.56 = 2,427.78 : x
  2. Step 2: Convert to fraction form
    3,055.68/4,216.56 = 2,427.78/x
  3. Step 3: Cross multiply
    3,055.68x = 4,216.56 × 2,427.78
  4. Step 4: Simplify right side
    3,055.68x = 10,236,880.04
  5. Step 5: Solve for x
    x = 10,236,880.04/3,055.68
  6. Step 6: Final answer
    x = 3,350.12

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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.