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Finding the Fourth Proportional to 4,101.54, 5,659.84 and 2,422.86

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Solution

The fourth proportional to 4,101.54, 5,659.84 and 2,422.86 is: 3,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.54 : 5,659.84 = 2,422.86 : x
  2. Step 2: Convert to fraction form
    4,101.54/5,659.84 = 2,422.86/x
  3. Step 3: Cross multiply
    4,101.54x = 5,659.84 × 2,422.86
  4. Step 4: Simplify right side
    4,101.54x = 13,712,999.94
  5. Step 5: Solve for x
    x = 13,712,999.94/4,101.54
  6. Step 6: Final answer
    x = 3,343.38

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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.