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Finding the Fourth Proportional to 5,111.44, 7,667.16 and 1,601.48

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Solution

The fourth proportional to 5,111.44, 7,667.16 and 1,601.48 is: 2,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.44 : 7,667.16 = 1,601.48 : x
  2. Step 2: Convert to fraction form
    5,111.44/7,667.16 = 1,601.48/x
  3. Step 3: Cross multiply
    5,111.44x = 7,667.16 × 1,601.48
  4. Step 4: Simplify right side
    5,111.44x = 12,278,803.40
  5. Step 5: Solve for x
    x = 12,278,803.40/5,111.44
  6. Step 6: Final answer
    x = 2,402.22

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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.