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Finding the Fourth Proportional to 3,477.33, 5,211.12 and 1,624.05

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Solution

The fourth proportional to 3,477.33, 5,211.12 and 1,624.05 is: 2,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.33 : 5,211.12 = 1,624.05 : x
  2. Step 2: Convert to fraction form
    3,477.33/5,211.12 = 1,624.05/x
  3. Step 3: Cross multiply
    3,477.33x = 5,211.12 × 1,624.05
  4. Step 4: Simplify right side
    3,477.33x = 8,463,119.44
  5. Step 5: Solve for x
    x = 8,463,119.44/3,477.33
  6. Step 6: Final answer
    x = 2,433.80

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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.