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Finding the Fourth Proportional to 4,299.62, 6,443.34 and 3,778.40

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Solution

The fourth proportional to 4,299.62, 6,443.34 and 3,778.40 is: 5,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299.62 : 6,443.34 = 3,778.40 : x
  2. Step 2: Convert to fraction form
    4,299.62/6,443.34 = 3,778.40/x
  3. Step 3: Cross multiply
    4,299.62x = 6,443.34 × 3,778.40
  4. Step 4: Simplify right side
    4,299.62x = 24,345,515.86
  5. Step 5: Solve for x
    x = 24,345,515.86/4,299.62
  6. Step 6: Final answer
    x = 5,662.25

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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.