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Finding the Fourth Proportional to 6,155.31, 8,491.09 and 4,166.54

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Solution

The fourth proportional to 6,155.31, 8,491.09 and 4,166.54 is: 5,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.31 : 8,491.09 = 4,166.54 : x
  2. Step 2: Convert to fraction form
    6,155.31/8,491.09 = 4,166.54/x
  3. Step 3: Cross multiply
    6,155.31x = 8,491.09 × 4,166.54
  4. Step 4: Simplify right side
    6,155.31x = 35,378,466.13
  5. Step 5: Solve for x
    x = 35,378,466.13/6,155.31
  6. Step 6: Final answer
    x = 5,747.63

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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.