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Finding the Fourth Proportional to 6,410.86, 8,847.06 and 3,616.36

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Solution

The fourth proportional to 6,410.86, 8,847.06 and 3,616.36 is: 4,990.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.86 : 8,847.06 = 3,616.36 : x
  2. Step 2: Convert to fraction form
    6,410.86/8,847.06 = 3,616.36/x
  3. Step 3: Cross multiply
    6,410.86x = 8,847.06 × 3,616.36
  4. Step 4: Simplify right side
    6,410.86x = 31,994,153.90
  5. Step 5: Solve for x
    x = 31,994,153.90/6,410.86
  6. Step 6: Final answer
    x = 4,990.62

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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.