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Finding the Fourth Proportional to 4,120.52, 6,180.24 and 1,384.52

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Solution

The fourth proportional to 4,120.52, 6,180.24 and 1,384.52 is: 2,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.52 : 6,180.24 = 1,384.52 : x
  2. Step 2: Convert to fraction form
    4,120.52/6,180.24 = 1,384.52/x
  3. Step 3: Cross multiply
    4,120.52x = 6,180.24 × 1,384.52
  4. Step 4: Simplify right side
    4,120.52x = 8,556,665.88
  5. Step 5: Solve for x
    x = 8,556,665.88/4,120.52
  6. Step 6: Final answer
    x = 2,076.60

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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.