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Finding the Fourth Proportional to 4,774.56, 7,164.62 and 2,001

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Solution

The fourth proportional to 4,774.56, 7,164.62 and 2,001 is: 3,002.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.56 : 7,164.62 = 2,001 : x
  2. Step 2: Convert to fraction form
    4,774.56/7,164.62 = 2,001/x
  3. Step 3: Cross multiply
    4,774.56x = 7,164.62 × 2,001
  4. Step 4: Simplify right side
    4,774.56x = 14,336,404.62
  5. Step 5: Solve for x
    x = 14,336,404.62/4,774.56
  6. Step 6: Final answer
    x = 3,002.67

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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.