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Finding the Fourth Proportional to 6,105.51, 8,427.20 and 3,868.47

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Solution

The fourth proportional to 6,105.51, 8,427.20 and 3,868.47 is: 5,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.51 : 8,427.20 = 3,868.47 : x
  2. Step 2: Convert to fraction form
    6,105.51/8,427.20 = 3,868.47/x
  3. Step 3: Cross multiply
    6,105.51x = 8,427.20 × 3,868.47
  4. Step 4: Simplify right side
    6,105.51x = 32,600,351.04
  5. Step 5: Solve for x
    x = 32,600,351.04/6,105.51
  6. Step 6: Final answer
    x = 5,339.50

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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.