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Finding the Fourth Proportional to 5,477.40, 8,213.70 and 2,189.40

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Solution

The fourth proportional to 5,477.40, 8,213.70 and 2,189.40 is: 3,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.40 : 8,213.70 = 2,189.40 : x
  2. Step 2: Convert to fraction form
    5,477.40/8,213.70 = 2,189.40/x
  3. Step 3: Cross multiply
    5,477.40x = 8,213.70 × 2,189.40
  4. Step 4: Simplify right side
    5,477.40x = 17,983,074.78
  5. Step 5: Solve for x
    x = 17,983,074.78/5,477.40
  6. Step 6: Final answer
    x = 3,283.14

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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.