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Finding the Fourth Proportional to 4,230.72, 5,835.72 and 2,969.88

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Solution

The fourth proportional to 4,230.72, 5,835.72 and 2,969.88 is: 4,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.72 : 5,835.72 = 2,969.88 : x
  2. Step 2: Convert to fraction form
    4,230.72/5,835.72 = 2,969.88/x
  3. Step 3: Cross multiply
    4,230.72x = 5,835.72 × 2,969.88
  4. Step 4: Simplify right side
    4,230.72x = 17,331,388.11
  5. Step 5: Solve for x
    x = 17,331,388.11/4,230.72
  6. Step 6: Final answer
    x = 4,096.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.