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Finding the Fourth Proportional to 3,638.40, 5,454.90 and 1,171.80

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Solution

The fourth proportional to 3,638.40, 5,454.90 and 1,171.80 is: 1,756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.40 : 5,454.90 = 1,171.80 : x
  2. Step 2: Convert to fraction form
    3,638.40/5,454.90 = 1,171.80/x
  3. Step 3: Cross multiply
    3,638.40x = 5,454.90 × 1,171.80
  4. Step 4: Simplify right side
    3,638.40x = 6,392,051.82
  5. Step 5: Solve for x
    x = 6,392,051.82/3,638.40
  6. Step 6: Final answer
    x = 1,756.83

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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.