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Finding the Fourth Proportional to 4,384.40, 6,589.40 and 3,821.20

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Solution

The fourth proportional to 4,384.40, 6,589.40 and 3,821.20 is: 5,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.40 : 6,589.40 = 3,821.20 : x
  2. Step 2: Convert to fraction form
    4,384.40/6,589.40 = 3,821.20/x
  3. Step 3: Cross multiply
    4,384.40x = 6,589.40 × 3,821.20
  4. Step 4: Simplify right side
    4,384.40x = 25,179,415.28
  5. Step 5: Solve for x
    x = 25,179,415.28/4,384.40
  6. Step 6: Final answer
    x = 5,742.96

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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.