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Finding the Fourth Proportional to 3,867.24, 5,808.72 and 3,415.26

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Solution

The fourth proportional to 3,867.24, 5,808.72 and 3,415.26 is: 5,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.24 : 5,808.72 = 3,415.26 : x
  2. Step 2: Convert to fraction form
    3,867.24/5,808.72 = 3,415.26/x
  3. Step 3: Cross multiply
    3,867.24x = 5,808.72 × 3,415.26
  4. Step 4: Simplify right side
    3,867.24x = 19,838,289.07
  5. Step 5: Solve for x
    x = 19,838,289.07/3,867.24
  6. Step 6: Final answer
    x = 5,129.83

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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.