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Finding the Fourth Proportional to 3,783.20, 5,670.90 and 1,704.20

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Solution

The fourth proportional to 3,783.20, 5,670.90 and 1,704.20 is: 2,554.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.20 : 5,670.90 = 1,704.20 : x
  2. Step 2: Convert to fraction form
    3,783.20/5,670.90 = 1,704.20/x
  3. Step 3: Cross multiply
    3,783.20x = 5,670.90 × 1,704.20
  4. Step 4: Simplify right side
    3,783.20x = 9,664,347.78
  5. Step 5: Solve for x
    x = 9,664,347.78/3,783.20
  6. Step 6: Final answer
    x = 2,554.54

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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.