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Finding the Fourth Proportional to 4,943.74, 7,414.41 and 2,309.58

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Solution

The fourth proportional to 4,943.74, 7,414.41 and 2,309.58 is: 3,463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.74 : 7,414.41 = 2,309.58 : x
  2. Step 2: Convert to fraction form
    4,943.74/7,414.41 = 2,309.58/x
  3. Step 3: Cross multiply
    4,943.74x = 7,414.41 × 2,309.58
  4. Step 4: Simplify right side
    4,943.74x = 17,124,173.05
  5. Step 5: Solve for x
    x = 17,124,173.05/4,943.74
  6. Step 6: Final answer
    x = 3,463.81

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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.