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Finding the Fourth Proportional to 5,605.68, 8,406.08 and 1,906.91

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Solution

The fourth proportional to 5,605.68, 8,406.08 and 1,906.91 is: 2,859.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.68 : 8,406.08 = 1,906.91 : x
  2. Step 2: Convert to fraction form
    5,605.68/8,406.08 = 1,906.91/x
  3. Step 3: Cross multiply
    5,605.68x = 8,406.08 × 1,906.91
  4. Step 4: Simplify right side
    5,605.68x = 16,029,638.01
  5. Step 5: Solve for x
    x = 16,029,638.01/5,605.68
  6. Step 6: Final answer
    x = 2,859.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.