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Finding the Fourth Proportional to 5,564.49, 7,678.80 and 3,325.85

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Solution

The fourth proportional to 5,564.49, 7,678.80 and 3,325.85 is: 4,589.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.49 : 7,678.80 = 3,325.85 : x
  2. Step 2: Convert to fraction form
    5,564.49/7,678.80 = 3,325.85/x
  3. Step 3: Cross multiply
    5,564.49x = 7,678.80 × 3,325.85
  4. Step 4: Simplify right side
    5,564.49x = 25,538,536.98
  5. Step 5: Solve for x
    x = 25,538,536.98/5,564.49
  6. Step 6: Final answer
    x = 4,589.56

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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.