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Finding the Fourth Proportional to 6,400.20, 8,832.12 and 3,605.70

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Solution

The fourth proportional to 6,400.20, 8,832.12 and 3,605.70 is: 4,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.20 : 8,832.12 = 3,605.70 : x
  2. Step 2: Convert to fraction form
    6,400.20/8,832.12 = 3,605.70/x
  3. Step 3: Cross multiply
    6,400.20x = 8,832.12 × 3,605.70
  4. Step 4: Simplify right side
    6,400.20x = 31,845,975.08
  5. Step 5: Solve for x
    x = 31,845,975.08/6,400.20
  6. Step 6: Final answer
    x = 4,975.78

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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.