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Finding the Fourth Proportional to 3,880.50, 5,824.84 and 2,420.64

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Solution

The fourth proportional to 3,880.50, 5,824.84 and 2,420.64 is: 3,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.50 : 5,824.84 = 2,420.64 : x
  2. Step 2: Convert to fraction form
    3,880.50/5,824.84 = 2,420.64/x
  3. Step 3: Cross multiply
    3,880.50x = 5,824.84 × 2,420.64
  4. Step 4: Simplify right side
    3,880.50x = 14,099,840.70
  5. Step 5: Solve for x
    x = 14,099,840.70/3,880.50
  6. Step 6: Final answer
    x = 3,633.51

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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.