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Finding the Fourth Proportional to 5,620.82, 8,420.24 and 4,382.44

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Solution

The fourth proportional to 5,620.82, 8,420.24 and 4,382.44 is: 6,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.82 : 8,420.24 = 4,382.44 : x
  2. Step 2: Convert to fraction form
    5,620.82/8,420.24 = 4,382.44/x
  3. Step 3: Cross multiply
    5,620.82x = 8,420.24 × 4,382.44
  4. Step 4: Simplify right side
    5,620.82x = 36,901,186.49
  5. Step 5: Solve for x
    x = 36,901,186.49/5,620.82
  6. Step 6: Final answer
    x = 6,565.10

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