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Finding the Fourth Proportional to 5,778.06, 8,667.09 and 2,314.50

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Solution

The fourth proportional to 5,778.06, 8,667.09 and 2,314.50 is: 3,471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.06 : 8,667.09 = 2,314.50 : x
  2. Step 2: Convert to fraction form
    5,778.06/8,667.09 = 2,314.50/x
  3. Step 3: Cross multiply
    5,778.06x = 8,667.09 × 2,314.50
  4. Step 4: Simplify right side
    5,778.06x = 20,059,979.81
  5. Step 5: Solve for x
    x = 20,059,979.81/5,778.06
  6. Step 6: Final answer
    x = 3,471.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.