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Finding the Fourth Proportional to 6,410.56, 8,846.82 and 3,616

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Solution

The fourth proportional to 6,410.56, 8,846.82 and 3,616 is: 4,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.56 : 8,846.82 = 3,616 : x
  2. Step 2: Convert to fraction form
    6,410.56/8,846.82 = 3,616/x
  3. Step 3: Cross multiply
    6,410.56x = 8,846.82 × 3,616
  4. Step 4: Simplify right side
    6,410.56x = 31,990,101.12
  5. Step 5: Solve for x
    x = 31,990,101.12/6,410.56
  6. Step 6: Final answer
    x = 4,990.22

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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.