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Finding the Fourth Proportional to 5,843.42, 8,063.64 and 3,325.76

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Solution

The fourth proportional to 5,843.42, 8,063.64 and 3,325.76 is: 4,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.42 : 8,063.64 = 3,325.76 : x
  2. Step 2: Convert to fraction form
    5,843.42/8,063.64 = 3,325.76/x
  3. Step 3: Cross multiply
    5,843.42x = 8,063.64 × 3,325.76
  4. Step 4: Simplify right side
    5,843.42x = 26,817,678.58
  5. Step 5: Solve for x
    x = 26,817,678.58/5,843.42
  6. Step 6: Final answer
    x = 4,589.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.