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Finding the Fourth Proportional to 6,585.89, 9,880.39 and 1,906.01

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Solution

The fourth proportional to 6,585.89, 9,880.39 and 1,906.01 is: 2,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.89 : 9,880.39 = 1,906.01 : x
  2. Step 2: Convert to fraction form
    6,585.89/9,880.39 = 1,906.01/x
  3. Step 3: Cross multiply
    6,585.89x = 9,880.39 × 1,906.01
  4. Step 4: Simplify right side
    6,585.89x = 18,832,067.98
  5. Step 5: Solve for x
    x = 18,832,067.98/6,585.89
  6. Step 6: Final answer
    x = 2,859.46

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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.