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Finding the Fourth Proportional to 3,841.40, 5,758.36 and 2,084.82

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Solution

The fourth proportional to 3,841.40, 5,758.36 and 2,084.82 is: 3,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.40 : 5,758.36 = 2,084.82 : x
  2. Step 2: Convert to fraction form
    3,841.40/5,758.36 = 2,084.82/x
  3. Step 3: Cross multiply
    3,841.40x = 5,758.36 × 2,084.82
  4. Step 4: Simplify right side
    3,841.40x = 12,005,104.88
  5. Step 5: Solve for x
    x = 12,005,104.88/3,841.40
  6. Step 6: Final answer
    x = 3,125.19

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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.