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Finding the Fourth Proportional to 6,406.05, 8,845.91 and 4,020.16

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Solution

The fourth proportional to 6,406.05, 8,845.91 and 4,020.16 is: 5,551.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.05 : 8,845.91 = 4,020.16 : x
  2. Step 2: Convert to fraction form
    6,406.05/8,845.91 = 4,020.16/x
  3. Step 3: Cross multiply
    6,406.05x = 8,845.91 × 4,020.16
  4. Step 4: Simplify right side
    6,406.05x = 35,561,983.60
  5. Step 5: Solve for x
    x = 35,561,983.60/6,406.05
  6. Step 6: Final answer
    x = 5,551.31

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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.