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Finding the Fourth Proportional to 4,297.62, 6,440.34 and 3,776.40

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Solution

The fourth proportional to 4,297.62, 6,440.34 and 3,776.40 is: 5,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.62 : 6,440.34 = 3,776.40 : x
  2. Step 2: Convert to fraction form
    4,297.62/6,440.34 = 3,776.40/x
  3. Step 3: Cross multiply
    4,297.62x = 6,440.34 × 3,776.40
  4. Step 4: Simplify right side
    4,297.62x = 24,321,299.98
  5. Step 5: Solve for x
    x = 24,321,299.98/4,297.62
  6. Step 6: Final answer
    x = 5,659.25

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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.