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Finding the Fourth Proportional to 4,212.06, 5,805.68 and 3,859.11

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Solution

The fourth proportional to 4,212.06, 5,805.68 and 3,859.11 is: 5,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.06 : 5,805.68 = 3,859.11 : x
  2. Step 2: Convert to fraction form
    4,212.06/5,805.68 = 3,859.11/x
  3. Step 3: Cross multiply
    4,212.06x = 5,805.68 × 3,859.11
  4. Step 4: Simplify right side
    4,212.06x = 22,404,738.45
  5. Step 5: Solve for x
    x = 22,404,738.45/4,212.06
  6. Step 6: Final answer
    x = 5,319.19

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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.