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Finding the Fourth Proportional to 6,410.68, 8,847.48 and 3,616

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Solution

The fourth proportional to 6,410.68, 8,847.48 and 3,616 is: 4,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.68 : 8,847.48 = 3,616 : x
  2. Step 2: Convert to fraction form
    6,410.68/8,847.48 = 3,616/x
  3. Step 3: Cross multiply
    6,410.68x = 8,847.48 × 3,616
  4. Step 4: Simplify right side
    6,410.68x = 31,992,487.68
  5. Step 5: Solve for x
    x = 31,992,487.68/6,410.68
  6. Step 6: Final answer
    x = 4,990.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.