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Finding the Fourth Proportional to 3,833.90, 5,758.14 and 2,383.19

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Solution

The fourth proportional to 3,833.90, 5,758.14 and 2,383.19 is: 3,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.90 : 5,758.14 = 2,383.19 : x
  2. Step 2: Convert to fraction form
    3,833.90/5,758.14 = 2,383.19/x
  3. Step 3: Cross multiply
    3,833.90x = 5,758.14 × 2,383.19
  4. Step 4: Simplify right side
    3,833.90x = 13,722,741.67
  5. Step 5: Solve for x
    x = 13,722,741.67/3,833.90
  6. Step 6: Final answer
    x = 3,579.32

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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.