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Finding the Fourth Proportional to 5,367.16, 8,057.66 and 4,135.42

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Solution

The fourth proportional to 5,367.16, 8,057.66 and 4,135.42 is: 6,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.16 : 8,057.66 = 4,135.42 : x
  2. Step 2: Convert to fraction form
    5,367.16/8,057.66 = 4,135.42/x
  3. Step 3: Cross multiply
    5,367.16x = 8,057.66 × 4,135.42
  4. Step 4: Simplify right side
    5,367.16x = 33,321,808.32
  5. Step 5: Solve for x
    x = 33,321,808.32/5,367.16
  6. Step 6: Final answer
    x = 6,208.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.