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Finding the Fourth Proportional to 4,214.31, 6,289.42 and 3,747.24

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Solution

The fourth proportional to 4,214.31, 6,289.42 and 3,747.24 is: 5,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.31 : 6,289.42 = 3,747.24 : x
  2. Step 2: Convert to fraction form
    4,214.31/6,289.42 = 3,747.24/x
  3. Step 3: Cross multiply
    4,214.31x = 6,289.42 × 3,747.24
  4. Step 4: Simplify right side
    4,214.31x = 23,567,949.64
  5. Step 5: Solve for x
    x = 23,567,949.64/4,214.31
  6. Step 6: Final answer
    x = 5,592.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.