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Finding the Fourth Proportional to 4,311.69, 5,967.24 and 4,208.17

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Solution

The fourth proportional to 4,311.69, 5,967.24 and 4,208.17 is: 5,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.69 : 5,967.24 = 4,208.17 : x
  2. Step 2: Convert to fraction form
    4,311.69/5,967.24 = 4,208.17/x
  3. Step 3: Cross multiply
    4,311.69x = 5,967.24 × 4,208.17
  4. Step 4: Simplify right side
    4,311.69x = 25,111,109.47
  5. Step 5: Solve for x
    x = 25,111,109.47/4,311.69
  6. Step 6: Final answer
    x = 5,823.96

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