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Finding the Fourth Proportional to 5,446.80, 8,171.55 and 1,551.20

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Solution

The fourth proportional to 5,446.80, 8,171.55 and 1,551.20 is: 2,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.80 : 8,171.55 = 1,551.20 : x
  2. Step 2: Convert to fraction form
    5,446.80/8,171.55 = 1,551.20/x
  3. Step 3: Cross multiply
    5,446.80x = 8,171.55 × 1,551.20
  4. Step 4: Simplify right side
    5,446.80x = 12,675,667.50
  5. Step 5: Solve for x
    x = 12,675,667.50/5,446.80
  6. Step 6: Final answer
    x = 2,327.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.