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Finding the Fourth Proportional to 3,859.07, 5,347.91 and 3,785.22

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Solution

The fourth proportional to 3,859.07, 5,347.91 and 3,785.22 is: 5,245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.07 : 5,347.91 = 3,785.22 : x
  2. Step 2: Convert to fraction form
    3,859.07/5,347.91 = 3,785.22/x
  3. Step 3: Cross multiply
    3,859.07x = 5,347.91 × 3,785.22
  4. Step 4: Simplify right side
    3,859.07x = 20,243,025.35
  5. Step 5: Solve for x
    x = 20,243,025.35/3,859.07
  6. Step 6: Final answer
    x = 5,245.58

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.