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Finding the Fourth Proportional to 6,101.12, 8,416.45 and 3,859.22

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Solution

The fourth proportional to 6,101.12, 8,416.45 and 3,859.22 is: 5,323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.12 : 8,416.45 = 3,859.22 : x
  2. Step 2: Convert to fraction form
    6,101.12/8,416.45 = 3,859.22/x
  3. Step 3: Cross multiply
    6,101.12x = 8,416.45 × 3,859.22
  4. Step 4: Simplify right side
    6,101.12x = 32,480,880.44
  5. Step 5: Solve for x
    x = 32,480,880.44/6,101.12
  6. Step 6: Final answer
    x = 5,323.76

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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.