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Finding the Fourth Proportional to 6,106.48, 8,427.11 and 3,453.91

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Solution

The fourth proportional to 6,106.48, 8,427.11 and 3,453.91 is: 4,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.48 : 8,427.11 = 3,453.91 : x
  2. Step 2: Convert to fraction form
    6,106.48/8,427.11 = 3,453.91/x
  3. Step 3: Cross multiply
    6,106.48x = 8,427.11 × 3,453.91
  4. Step 4: Simplify right side
    6,106.48x = 29,106,441.16
  5. Step 5: Solve for x
    x = 29,106,441.16/6,106.48
  6. Step 6: Final answer
    x = 4,766.49

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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.