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Finding the Fourth Proportional to 5,620.56, 7,755.84 and 3,102.07

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Solution

The fourth proportional to 5,620.56, 7,755.84 and 3,102.07 is: 4,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.56 : 7,755.84 = 3,102.07 : x
  2. Step 2: Convert to fraction form
    5,620.56/7,755.84 = 3,102.07/x
  3. Step 3: Cross multiply
    5,620.56x = 7,755.84 × 3,102.07
  4. Step 4: Simplify right side
    5,620.56x = 24,059,158.59
  5. Step 5: Solve for x
    x = 24,059,158.59/5,620.56
  6. Step 6: Final answer
    x = 4,280.56

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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.