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Finding the Fourth Proportional to 4,224.88, 6,340.04 and 2,278.44

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Solution

The fourth proportional to 4,224.88, 6,340.04 and 2,278.44 is: 3,419.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.88 : 6,340.04 = 2,278.44 : x
  2. Step 2: Convert to fraction form
    4,224.88/6,340.04 = 2,278.44/x
  3. Step 3: Cross multiply
    4,224.88x = 6,340.04 × 2,278.44
  4. Step 4: Simplify right side
    4,224.88x = 14,445,400.74
  5. Step 5: Solve for x
    x = 14,445,400.74/4,224.88
  6. Step 6: Final answer
    x = 3,419.13

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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.