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Finding the Fourth Proportional to 6,091.43, 8,406 and 3,439.09

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Solution

The fourth proportional to 6,091.43, 8,406 and 3,439.09 is: 4,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.43 : 8,406 = 3,439.09 : x
  2. Step 2: Convert to fraction form
    6,091.43/8,406 = 3,439.09/x
  3. Step 3: Cross multiply
    6,091.43x = 8,406 × 3,439.09
  4. Step 4: Simplify right side
    6,091.43x = 28,908,948.51
  5. Step 5: Solve for x
    x = 28,908,948.51/6,091.43
  6. Step 6: Final answer
    x = 4,745.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.