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Finding the Fourth Proportional to 4,019.13, 6,037.97 and 3,853.06

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Solution

The fourth proportional to 4,019.13, 6,037.97 and 3,853.06 is: 5,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.13 : 6,037.97 = 3,853.06 : x
  2. Step 2: Convert to fraction form
    4,019.13/6,037.97 = 3,853.06/x
  3. Step 3: Cross multiply
    4,019.13x = 6,037.97 × 3,853.06
  4. Step 4: Simplify right side
    4,019.13x = 23,264,626.33
  5. Step 5: Solve for x
    x = 23,264,626.33/4,019.13
  6. Step 6: Final answer
    x = 5,788.47

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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.