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Finding the Fourth Proportional to 6,206.39, 8,564.10 and 3,553.64

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Solution

The fourth proportional to 6,206.39, 8,564.10 and 3,553.64 is: 4,903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.39 : 8,564.10 = 3,553.64 : x
  2. Step 2: Convert to fraction form
    6,206.39/8,564.10 = 3,553.64/x
  3. Step 3: Cross multiply
    6,206.39x = 8,564.10 × 3,553.64
  4. Step 4: Simplify right side
    6,206.39x = 30,433,728.32
  5. Step 5: Solve for x
    x = 30,433,728.32/6,206.39
  6. Step 6: Final answer
    x = 4,903.61

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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.