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Finding the Fourth Proportional to 3,709.69, 5,564.18 and 1,077.89

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Solution

The fourth proportional to 3,709.69, 5,564.18 and 1,077.89 is: 1,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.69 : 5,564.18 = 1,077.89 : x
  2. Step 2: Convert to fraction form
    3,709.69/5,564.18 = 1,077.89/x
  3. Step 3: Cross multiply
    3,709.69x = 5,564.18 × 1,077.89
  4. Step 4: Simplify right side
    3,709.69x = 5,997,548.85
  5. Step 5: Solve for x
    x = 5,997,548.85/3,709.69
  6. Step 6: Final answer
    x = 1,616.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.