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Finding the Fourth Proportional to 3,784.20, 5,672.40 and 1,705.20

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Solution

The fourth proportional to 3,784.20, 5,672.40 and 1,705.20 is: 2,556.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.20 : 5,672.40 = 1,705.20 : x
  2. Step 2: Convert to fraction form
    3,784.20/5,672.40 = 1,705.20/x
  3. Step 3: Cross multiply
    3,784.20x = 5,672.40 × 1,705.20
  4. Step 4: Simplify right side
    3,784.20x = 9,672,576.48
  5. Step 5: Solve for x
    x = 9,672,576.48/3,784.20
  6. Step 6: Final answer
    x = 2,556.04

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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.