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Finding the Fourth Proportional to 5,561.69, 7,677.90 and 4,299.89

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Solution

The fourth proportional to 5,561.69, 7,677.90 and 4,299.89 is: 5,935.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.69 : 7,677.90 = 4,299.89 : x
  2. Step 2: Convert to fraction form
    5,561.69/7,677.90 = 4,299.89/x
  3. Step 3: Cross multiply
    5,561.69x = 7,677.90 × 4,299.89
  4. Step 4: Simplify right side
    5,561.69x = 33,014,087.04
  5. Step 5: Solve for x
    x = 33,014,087.04/5,561.69
  6. Step 6: Final answer
    x = 5,935.99

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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.