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Finding the Fourth Proportional to 3,275.71, 4,908.09 and 1,424.05

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Solution

The fourth proportional to 3,275.71, 4,908.09 and 1,424.05 is: 2,133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.71 : 4,908.09 = 1,424.05 : x
  2. Step 2: Convert to fraction form
    3,275.71/4,908.09 = 1,424.05/x
  3. Step 3: Cross multiply
    3,275.71x = 4,908.09 × 1,424.05
  4. Step 4: Simplify right side
    3,275.71x = 6,989,365.56
  5. Step 5: Solve for x
    x = 6,989,365.56/3,275.71
  6. Step 6: Final answer
    x = 2,133.69

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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.