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Finding the Fourth Proportional to 5,769.92, 8,656.34 and 1,609.93

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Solution

The fourth proportional to 5,769.92, 8,656.34 and 1,609.93 is: 2,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.92 : 8,656.34 = 1,609.93 : x
  2. Step 2: Convert to fraction form
    5,769.92/8,656.34 = 1,609.93/x
  3. Step 3: Cross multiply
    5,769.92x = 8,656.34 × 1,609.93
  4. Step 4: Simplify right side
    5,769.92x = 13,936,058.55
  5. Step 5: Solve for x
    x = 13,936,058.55/5,769.92
  6. Step 6: Final answer
    x = 2,415.30

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Why These Related Problems?

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