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Finding the Fourth Proportional to 3,275.49, 4,914.08 and 1,426.13

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Solution

The fourth proportional to 3,275.49, 4,914.08 and 1,426.13 is: 2,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.49 : 4,914.08 = 1,426.13 : x
  2. Step 2: Convert to fraction form
    3,275.49/4,914.08 = 1,426.13/x
  3. Step 3: Cross multiply
    3,275.49x = 4,914.08 × 1,426.13
  4. Step 4: Simplify right side
    3,275.49x = 7,008,116.91
  5. Step 5: Solve for x
    x = 7,008,116.91/3,275.49
  6. Step 6: Final answer
    x = 2,139.56

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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.