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Finding the Fourth Proportional to 3,624.84, 5,439.30 and 1,544.62

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Solution

The fourth proportional to 3,624.84, 5,439.30 and 1,544.62 is: 2,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.84 : 5,439.30 = 1,544.62 : x
  2. Step 2: Convert to fraction form
    3,624.84/5,439.30 = 1,544.62/x
  3. Step 3: Cross multiply
    3,624.84x = 5,439.30 × 1,544.62
  4. Step 4: Simplify right side
    3,624.84x = 8,401,651.57
  5. Step 5: Solve for x
    x = 8,401,651.57/3,624.84
  6. Step 6: Final answer
    x = 2,317.80

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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.