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Finding the Fourth Proportional to 5,306.88, 7,964.58 and 2,843.46

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Solution

The fourth proportional to 5,306.88, 7,964.58 and 2,843.46 is: 4,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.88 : 7,964.58 = 2,843.46 : x
  2. Step 2: Convert to fraction form
    5,306.88/7,964.58 = 2,843.46/x
  3. Step 3: Cross multiply
    5,306.88x = 7,964.58 × 2,843.46
  4. Step 4: Simplify right side
    5,306.88x = 22,646,964.65
  5. Step 5: Solve for x
    x = 22,646,964.65/5,306.88
  6. Step 6: Final answer
    x = 4,267.47

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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.