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Finding the Fourth Proportional to 5,609.69, 7,741.27 and 3,252.05

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Solution

The fourth proportional to 5,609.69, 7,741.27 and 3,252.05 is: 4,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.69 : 7,741.27 = 3,252.05 : x
  2. Step 2: Convert to fraction form
    5,609.69/7,741.27 = 3,252.05/x
  3. Step 3: Cross multiply
    5,609.69x = 7,741.27 × 3,252.05
  4. Step 4: Simplify right side
    5,609.69x = 25,174,997.10
  5. Step 5: Solve for x
    x = 25,174,997.10/5,609.69
  6. Step 6: Final answer
    x = 4,487.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.