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Finding the Fourth Proportional to 3,867.36, 5,804.10 and 2,019

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Solution

The fourth proportional to 3,867.36, 5,804.10 and 2,019 is: 3,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.36 : 5,804.10 = 2,019 : x
  2. Step 2: Convert to fraction form
    3,867.36/5,804.10 = 2,019/x
  3. Step 3: Cross multiply
    3,867.36x = 5,804.10 × 2,019
  4. Step 4: Simplify right side
    3,867.36x = 11,718,477.90
  5. Step 5: Solve for x
    x = 11,718,477.90/3,867.36
  6. Step 6: Final answer
    x = 3,030.10

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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.