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Finding the Fourth Proportional to 4,144.41, 6,218.13 and 1,924.30

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Solution

The fourth proportional to 4,144.41, 6,218.13 and 1,924.30 is: 2,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.41 : 6,218.13 = 1,924.30 : x
  2. Step 2: Convert to fraction form
    4,144.41/6,218.13 = 1,924.30/x
  3. Step 3: Cross multiply
    4,144.41x = 6,218.13 × 1,924.30
  4. Step 4: Simplify right side
    4,144.41x = 11,965,547.56
  5. Step 5: Solve for x
    x = 11,965,547.56/4,144.41
  6. Step 6: Final answer
    x = 2,887.15

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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.