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Finding the Fourth Proportional to 6,105.60, 8,426.02 and 3,453.12

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Solution

The fourth proportional to 6,105.60, 8,426.02 and 3,453.12 is: 4,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.60 : 8,426.02 = 3,453.12 : x
  2. Step 2: Convert to fraction form
    6,105.60/8,426.02 = 3,453.12/x
  3. Step 3: Cross multiply
    6,105.60x = 8,426.02 × 3,453.12
  4. Step 4: Simplify right side
    6,105.60x = 29,096,058.18
  5. Step 5: Solve for x
    x = 29,096,058.18/6,105.60
  6. Step 6: Final answer
    x = 4,765.47

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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.