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Finding the Fourth Proportional to 5,259, 7,891.70 and 2,337.54

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Solution

The fourth proportional to 5,259, 7,891.70 and 2,337.54 is: 3,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259 : 7,891.70 = 2,337.54 : x
  2. Step 2: Convert to fraction form
    5,259/7,891.70 = 2,337.54/x
  3. Step 3: Cross multiply
    5,259x = 7,891.70 × 2,337.54
  4. Step 4: Simplify right side
    5,259x = 18,447,164.42
  5. Step 5: Solve for x
    x = 18,447,164.42/5,259
  6. Step 6: Final answer
    x = 3,507.73

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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.