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Finding the Fourth Proportional to 3,667.61, 5,059.97 and 2,409.35

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Solution

The fourth proportional to 3,667.61, 5,059.97 and 2,409.35 is: 3,324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.61 : 5,059.97 = 2,409.35 : x
  2. Step 2: Convert to fraction form
    3,667.61/5,059.97 = 2,409.35/x
  3. Step 3: Cross multiply
    3,667.61x = 5,059.97 × 2,409.35
  4. Step 4: Simplify right side
    3,667.61x = 12,191,201.37
  5. Step 5: Solve for x
    x = 12,191,201.37/3,667.61
  6. Step 6: Final answer
    x = 3,324.02

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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.