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Finding the Fourth Proportional to 4,278.56, 6,419.84 and 1,814.08

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Solution

The fourth proportional to 4,278.56, 6,419.84 and 1,814.08 is: 2,721.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.56 : 6,419.84 = 1,814.08 : x
  2. Step 2: Convert to fraction form
    4,278.56/6,419.84 = 1,814.08/x
  3. Step 3: Cross multiply
    4,278.56x = 6,419.84 × 1,814.08
  4. Step 4: Simplify right side
    4,278.56x = 11,646,103.35
  5. Step 5: Solve for x
    x = 11,646,103.35/4,278.56
  6. Step 6: Final answer
    x = 2,721.97

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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.