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Finding the Fourth Proportional to 3,842,863.91, 5,764,593.47 and 1,284,087.72

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Solution

The fourth proportional to 3,842,863.91, 5,764,593.47 and 1,284,087.72 is: 1,926,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842,863.91 : 5,764,593.47 = 1,284,087.72 : x
  2. Step 2: Convert to fraction form
    3,842,863.91/5,764,593.47 = 1,284,087.72/x
  3. Step 3: Cross multiply
    3,842,863.91x = 5,764,593.47 × 1,284,087.72
  4. Step 4: Simplify right side
    3,842,863.91x = 7,402,243,679,198.75
  5. Step 5: Solve for x
    x = 7,402,243,679,198.75/3,842,863.91
  6. Step 6: Final answer
    x = 1,926,231.03

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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.