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Finding the Fourth Proportional to 4,202.09, 6,301.03 and 2,447.67

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Solution

The fourth proportional to 4,202.09, 6,301.03 and 2,447.67 is: 3,670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.09 : 6,301.03 = 2,447.67 : x
  2. Step 2: Convert to fraction form
    4,202.09/6,301.03 = 2,447.67/x
  3. Step 3: Cross multiply
    4,202.09x = 6,301.03 × 2,447.67
  4. Step 4: Simplify right side
    4,202.09x = 15,422,842.10
  5. Step 5: Solve for x
    x = 15,422,842.10/4,202.09
  6. Step 6: Final answer
    x = 3,670.28

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