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Finding the Fourth Proportional to 5,620.16, 7,755.81 and 3,102.27

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Solution

The fourth proportional to 5,620.16, 7,755.81 and 3,102.27 is: 4,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.16 : 7,755.81 = 3,102.27 : x
  2. Step 2: Convert to fraction form
    5,620.16/7,755.81 = 3,102.27/x
  3. Step 3: Cross multiply
    5,620.16x = 7,755.81 × 3,102.27
  4. Step 4: Simplify right side
    5,620.16x = 24,060,616.69
  5. Step 5: Solve for x
    x = 24,060,616.69/5,620.16
  6. Step 6: Final answer
    x = 4,281.13

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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.