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Finding the Fourth Proportional to 5,619.77, 8,430.97 and 1,922.03

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Solution

The fourth proportional to 5,619.77, 8,430.97 and 1,922.03 is: 2,883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,619.77 : 8,430.97 = 1,922.03 : x
  2. Step 2: Convert to fraction form
    5,619.77/8,430.97 = 1,922.03/x
  3. Step 3: Cross multiply
    5,619.77x = 8,430.97 × 1,922.03
  4. Step 4: Simplify right side
    5,619.77x = 16,204,577.27
  5. Step 5: Solve for x
    x = 16,204,577.27/5,619.77
  6. Step 6: Final answer
    x = 2,883.49

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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.