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Finding the Fourth Proportional to 5,564.25, 7,678.67 and 3,207.76

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Solution

The fourth proportional to 5,564.25, 7,678.67 and 3,207.76 is: 4,426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.25 : 7,678.67 = 3,207.76 : x
  2. Step 2: Convert to fraction form
    5,564.25/7,678.67 = 3,207.76/x
  3. Step 3: Cross multiply
    5,564.25x = 7,678.67 × 3,207.76
  4. Step 4: Simplify right side
    5,564.25x = 24,631,295.24
  5. Step 5: Solve for x
    x = 24,631,295.24/5,564.25
  6. Step 6: Final answer
    x = 4,426.71

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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.