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Finding the Fourth Proportional to 5,306.77, 7,959.75 and 1,797.07

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Solution

The fourth proportional to 5,306.77, 7,959.75 and 1,797.07 is: 2,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.77 : 7,959.75 = 1,797.07 : x
  2. Step 2: Convert to fraction form
    5,306.77/7,959.75 = 1,797.07/x
  3. Step 3: Cross multiply
    5,306.77x = 7,959.75 × 1,797.07
  4. Step 4: Simplify right side
    5,306.77x = 14,304,227.93
  5. Step 5: Solve for x
    x = 14,304,227.93/5,306.77
  6. Step 6: Final answer
    x = 2,695.47

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1.5x scale

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.