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Finding the Fourth Proportional to 6,202.50, 8,559.63 and 3,408.18

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Solution

The fourth proportional to 6,202.50, 8,559.63 and 3,408.18 is: 4,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.50 : 8,559.63 = 3,408.18 : x
  2. Step 2: Convert to fraction form
    6,202.50/8,559.63 = 3,408.18/x
  3. Step 3: Cross multiply
    6,202.50x = 8,559.63 × 3,408.18
  4. Step 4: Simplify right side
    6,202.50x = 29,172,759.77
  5. Step 5: Solve for x
    x = 29,172,759.77/6,202.50
  6. Step 6: Final answer
    x = 4,703.39

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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.