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Finding the Fourth Proportional to 6,202.76, 8,559.80 and 3,408.44

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Solution

The fourth proportional to 6,202.76, 8,559.80 and 3,408.44 is: 4,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.76 : 8,559.80 = 3,408.44 : x
  2. Step 2: Convert to fraction form
    6,202.76/8,559.80 = 3,408.44/x
  3. Step 3: Cross multiply
    6,202.76x = 8,559.80 × 3,408.44
  4. Step 4: Simplify right side
    6,202.76x = 29,175,564.71
  5. Step 5: Solve for x
    x = 29,175,564.71/6,202.76
  6. Step 6: Final answer
    x = 4,703.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.