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Finding the Fourth Proportional to 3,778.54, 5,667.84 and 1,313.38

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Solution

The fourth proportional to 3,778.54, 5,667.84 and 1,313.38 is: 1,970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.54 : 5,667.84 = 1,313.38 : x
  2. Step 2: Convert to fraction form
    3,778.54/5,667.84 = 1,313.38/x
  3. Step 3: Cross multiply
    3,778.54x = 5,667.84 × 1,313.38
  4. Step 4: Simplify right side
    3,778.54x = 7,444,027.70
  5. Step 5: Solve for x
    x = 7,444,027.70/3,778.54
  6. Step 6: Final answer
    x = 1,970.08

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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.