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Finding the Fourth Proportional to 6,284.96, 8,667.45 and 4,271.39

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Solution

The fourth proportional to 6,284.96, 8,667.45 and 4,271.39 is: 5,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.96 : 8,667.45 = 4,271.39 : x
  2. Step 2: Convert to fraction form
    6,284.96/8,667.45 = 4,271.39/x
  3. Step 3: Cross multiply
    6,284.96x = 8,667.45 × 4,271.39
  4. Step 4: Simplify right side
    6,284.96x = 37,022,059.26
  5. Step 5: Solve for x
    x = 37,022,059.26/6,284.96
  6. Step 6: Final answer
    x = 5,890.58

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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.