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Finding the Fourth Proportional to 3,842.22, 5,291.91 and 3,317.34

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Solution

The fourth proportional to 3,842.22, 5,291.91 and 3,317.34 is: 4,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.22 : 5,291.91 = 3,317.34 : x
  2. Step 2: Convert to fraction form
    3,842.22/5,291.91 = 3,317.34/x
  3. Step 3: Cross multiply
    3,842.22x = 5,291.91 × 3,317.34
  4. Step 4: Simplify right side
    3,842.22x = 17,555,064.72
  5. Step 5: Solve for x
    x = 17,555,064.72/3,842.22
  6. Step 6: Final answer
    x = 4,568.99

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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.