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Finding the Fourth Proportional to 3,858.09, 5,781.60 and 2,396.40

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Solution

The fourth proportional to 3,858.09, 5,781.60 and 2,396.40 is: 3,591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.09 : 5,781.60 = 2,396.40 : x
  2. Step 2: Convert to fraction form
    3,858.09/5,781.60 = 2,396.40/x
  3. Step 3: Cross multiply
    3,858.09x = 5,781.60 × 2,396.40
  4. Step 4: Simplify right side
    3,858.09x = 13,855,026.24
  5. Step 5: Solve for x
    x = 13,855,026.24/3,858.09
  6. Step 6: Final answer
    x = 3,591.16

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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.