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Finding the Fourth Proportional to 5,834.44, 8,052.14 and 3,567.11

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Solution

The fourth proportional to 5,834.44, 8,052.14 and 3,567.11 is: 4,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.44 : 8,052.14 = 3,567.11 : x
  2. Step 2: Convert to fraction form
    5,834.44/8,052.14 = 3,567.11/x
  3. Step 3: Cross multiply
    5,834.44x = 8,052.14 × 3,567.11
  4. Step 4: Simplify right side
    5,834.44x = 28,722,837.77
  5. Step 5: Solve for x
    x = 28,722,837.77/5,834.44
  6. Step 6: Final answer
    x = 4,922.98

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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.