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Finding the Fourth Proportional to 5,291.22, 7,936.84 and 1,342.78

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Solution

The fourth proportional to 5,291.22, 7,936.84 and 1,342.78 is: 2,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.22 : 7,936.84 = 1,342.78 : x
  2. Step 2: Convert to fraction form
    5,291.22/7,936.84 = 1,342.78/x
  3. Step 3: Cross multiply
    5,291.22x = 7,936.84 × 1,342.78
  4. Step 4: Simplify right side
    5,291.22x = 10,657,415.63
  5. Step 5: Solve for x
    x = 10,657,415.63/5,291.22
  6. Step 6: Final answer
    x = 2,014.17

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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.