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Finding the Fourth Proportional to 3,861,784.80, 5,794,750.80 and 1,618,149.60

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Solution

The fourth proportional to 3,861,784.80, 5,794,750.80 and 1,618,149.60 is: 2,428,093.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861,784.80 : 5,794,750.80 = 1,618,149.60 : x
  2. Step 2: Convert to fraction form
    3,861,784.80/5,794,750.80 = 1,618,149.60/x
  3. Step 3: Cross multiply
    3,861,784.80x = 5,794,750.80 × 1,618,149.60
  4. Step 4: Simplify right side
    3,861,784.80x = 9,376,773,689,119.68
  5. Step 5: Solve for x
    x = 9,376,773,689,119.68/3,861,784.80
  6. Step 6: Final answer
    x = 2,428,093.27

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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.