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Finding the Fourth Proportional to 5,638.22, 7,780.63 and 3,120.33

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Solution

The fourth proportional to 5,638.22, 7,780.63 and 3,120.33 is: 4,305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.22 : 7,780.63 = 3,120.33 : x
  2. Step 2: Convert to fraction form
    5,638.22/7,780.63 = 3,120.33/x
  3. Step 3: Cross multiply
    5,638.22x = 7,780.63 × 3,120.33
  4. Step 4: Simplify right side
    5,638.22x = 24,278,130.92
  5. Step 5: Solve for x
    x = 24,278,130.92/5,638.22
  6. Step 6: Final answer
    x = 4,305.99

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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.