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Finding the Fourth Proportional to 3,926.88, 5,419.86 and 2,600.64

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Solution

The fourth proportional to 3,926.88, 5,419.86 and 2,600.64 is: 3,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.88 : 5,419.86 = 2,600.64 : x
  2. Step 2: Convert to fraction form
    3,926.88/5,419.86 = 2,600.64/x
  3. Step 3: Cross multiply
    3,926.88x = 5,419.86 × 2,600.64
  4. Step 4: Simplify right side
    3,926.88x = 14,095,104.71
  5. Step 5: Solve for x
    x = 14,095,104.71/3,926.88
  6. Step 6: Final answer
    x = 3,589.39

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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.