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Finding the Fourth Proportional to 5,106, 7,659 and 1,408.26

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Solution

The fourth proportional to 5,106, 7,659 and 1,408.26 is: 2,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106 : 7,659 = 1,408.26 : x
  2. Step 2: Convert to fraction form
    5,106/7,659 = 1,408.26/x
  3. Step 3: Cross multiply
    5,106x = 7,659 × 1,408.26
  4. Step 4: Simplify right side
    5,106x = 10,785,863.34
  5. Step 5: Solve for x
    x = 10,785,863.34/5,106
  6. Step 6: Final answer
    x = 2,112.39

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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.