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Finding the Fourth Proportional to 5,604.77, 8,403.03 and 1,906.02

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Solution

The fourth proportional to 5,604.77, 8,403.03 and 1,906.02 is: 2,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.77 : 8,403.03 = 1,906.02 : x
  2. Step 2: Convert to fraction form
    5,604.77/8,403.03 = 1,906.02/x
  3. Step 3: Cross multiply
    5,604.77x = 8,403.03 × 1,906.02
  4. Step 4: Simplify right side
    5,604.77x = 16,016,343.24
  5. Step 5: Solve for x
    x = 16,016,343.24/5,604.77
  6. Step 6: Final answer
    x = 2,857.63

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Why These Related Problems?

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