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Finding the Fourth Proportional to 3,783.22, 5,667.54 and 3,166

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Solution

The fourth proportional to 3,783.22, 5,667.54 and 3,166 is: 4,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.22 : 5,667.54 = 3,166 : x
  2. Step 2: Convert to fraction form
    3,783.22/5,667.54 = 3,166/x
  3. Step 3: Cross multiply
    3,783.22x = 5,667.54 × 3,166
  4. Step 4: Simplify right side
    3,783.22x = 17,943,431.64
  5. Step 5: Solve for x
    x = 17,943,431.64/3,783.22
  6. Step 6: Final answer
    x = 4,742.90

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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.