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Finding the Fourth Proportional to 3,857.40, 5,786.10 and 2,993.40

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Solution

The fourth proportional to 3,857.40, 5,786.10 and 2,993.40 is: 4,490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.40 : 5,786.10 = 2,993.40 : x
  2. Step 2: Convert to fraction form
    3,857.40/5,786.10 = 2,993.40/x
  3. Step 3: Cross multiply
    3,857.40x = 5,786.10 × 2,993.40
  4. Step 4: Simplify right side
    3,857.40x = 17,320,111.74
  5. Step 5: Solve for x
    x = 17,320,111.74/3,857.40
  6. Step 6: Final answer
    x = 4,490.10

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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.