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Finding the Fourth Proportional to 4,278.88, 6,419.16 and 1,813.66

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Solution

The fourth proportional to 4,278.88, 6,419.16 and 1,813.66 is: 2,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.88 : 6,419.16 = 1,813.66 : x
  2. Step 2: Convert to fraction form
    4,278.88/6,419.16 = 1,813.66/x
  3. Step 3: Cross multiply
    4,278.88x = 6,419.16 × 1,813.66
  4. Step 4: Simplify right side
    4,278.88x = 11,642,173.73
  5. Step 5: Solve for x
    x = 11,642,173.73/4,278.88
  6. Step 6: Final answer
    x = 2,720.85

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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.