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Finding the Fourth Proportional to 3,855.43, 5,784.36 and 2,295.10

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Solution

The fourth proportional to 3,855.43, 5,784.36 and 2,295.10 is: 3,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.43 : 5,784.36 = 2,295.10 : x
  2. Step 2: Convert to fraction form
    3,855.43/5,784.36 = 2,295.10/x
  3. Step 3: Cross multiply
    3,855.43x = 5,784.36 × 2,295.10
  4. Step 4: Simplify right side
    3,855.43x = 13,275,684.64
  5. Step 5: Solve for x
    x = 13,275,684.64/3,855.43
  6. Step 6: Final answer
    x = 3,443.37

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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.