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Finding the Fourth Proportional to 5,805.44, 8,710.56 and 2,343.68

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Solution

The fourth proportional to 5,805.44, 8,710.56 and 2,343.68 is: 3,516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.44 : 8,710.56 = 2,343.68 : x
  2. Step 2: Convert to fraction form
    5,805.44/8,710.56 = 2,343.68/x
  3. Step 3: Cross multiply
    5,805.44x = 8,710.56 × 2,343.68
  4. Step 4: Simplify right side
    5,805.44x = 20,414,765.26
  5. Step 5: Solve for x
    x = 20,414,765.26/5,805.44
  6. Step 6: Final answer
    x = 3,516.49

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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.