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Finding the Fourth Proportional to 5,778.57, 8,667.50 and 1,618.49

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Solution

The fourth proportional to 5,778.57, 8,667.50 and 1,618.49 is: 2,427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.57 : 8,667.50 = 1,618.49 : x
  2. Step 2: Convert to fraction form
    5,778.57/8,667.50 = 1,618.49/x
  3. Step 3: Cross multiply
    5,778.57x = 8,667.50 × 1,618.49
  4. Step 4: Simplify right side
    5,778.57x = 14,028,210.65
  5. Step 5: Solve for x
    x = 14,028,210.65/5,778.57
  6. Step 6: Final answer
    x = 2,427.63

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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.