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Finding the Fourth Proportional to 3,893.49, 5,839.56 and 1,813.14

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Solution

The fourth proportional to 3,893.49, 5,839.56 and 1,813.14 is: 2,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.49 : 5,839.56 = 1,813.14 : x
  2. Step 2: Convert to fraction form
    3,893.49/5,839.56 = 1,813.14/x
  3. Step 3: Cross multiply
    3,893.49x = 5,839.56 × 1,813.14
  4. Step 4: Simplify right side
    3,893.49x = 10,587,939.82
  5. Step 5: Solve for x
    x = 10,587,939.82/3,893.49
  6. Step 6: Final answer
    x = 2,719.40

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1.5x scale

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.