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Finding the Fourth Proportional to 5,306.28, 7,959.50 and 1,843.64

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Solution

The fourth proportional to 5,306.28, 7,959.50 and 1,843.64 is: 2,765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.28 : 7,959.50 = 1,843.64 : x
  2. Step 2: Convert to fraction form
    5,306.28/7,959.50 = 1,843.64/x
  3. Step 3: Cross multiply
    5,306.28x = 7,959.50 × 1,843.64
  4. Step 4: Simplify right side
    5,306.28x = 14,674,452.58
  5. Step 5: Solve for x
    x = 14,674,452.58/5,306.28
  6. Step 6: Final answer
    x = 2,765.49

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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.