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Finding the Fourth Proportional to 5,309.64, 7,959.49 and 1,797.19

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Solution

The fourth proportional to 5,309.64, 7,959.49 and 1,797.19 is: 2,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.64 : 7,959.49 = 1,797.19 : x
  2. Step 2: Convert to fraction form
    5,309.64/7,959.49 = 1,797.19/x
  3. Step 3: Cross multiply
    5,309.64x = 7,959.49 × 1,797.19
  4. Step 4: Simplify right side
    5,309.64x = 14,304,721.29
  5. Step 5: Solve for x
    x = 14,304,721.29/5,309.64
  6. Step 6: Final answer
    x = 2,694.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.