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Finding the Fourth Proportional to 5,874.39, 8,098.81 and 4,667.07

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Solution

The fourth proportional to 5,874.39, 8,098.81 and 4,667.07 is: 6,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.39 : 8,098.81 = 4,667.07 : x
  2. Step 2: Convert to fraction form
    5,874.39/8,098.81 = 4,667.07/x
  3. Step 3: Cross multiply
    5,874.39x = 8,098.81 × 4,667.07
  4. Step 4: Simplify right side
    5,874.39x = 37,797,731.89
  5. Step 5: Solve for x
    x = 37,797,731.89/5,874.39
  6. Step 6: Final answer
    x = 6,434.32

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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.