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Finding the Fourth Proportional to 4,206.86, 6,308.16 and 2,452.42

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Solution

The fourth proportional to 4,206.86, 6,308.16 and 2,452.42 is: 3,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.86 : 6,308.16 = 2,452.42 : x
  2. Step 2: Convert to fraction form
    4,206.86/6,308.16 = 2,452.42/x
  3. Step 3: Cross multiply
    4,206.86x = 6,308.16 × 2,452.42
  4. Step 4: Simplify right side
    4,206.86x = 15,470,257.75
  5. Step 5: Solve for x
    x = 15,470,257.75/4,206.86
  6. Step 6: Final answer
    x = 3,677.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.