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Finding the Fourth Proportional to 4,193.24, 6,289.05 and 3,985.10

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Solution

The fourth proportional to 4,193.24, 6,289.05 and 3,985.10 is: 5,976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.24 : 6,289.05 = 3,985.10 : x
  2. Step 2: Convert to fraction form
    4,193.24/6,289.05 = 3,985.10/x
  3. Step 3: Cross multiply
    4,193.24x = 6,289.05 × 3,985.10
  4. Step 4: Simplify right side
    4,193.24x = 25,062,493.16
  5. Step 5: Solve for x
    x = 25,062,493.16/4,193.24
  6. Step 6: Final answer
    x = 5,976.88

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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.