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Finding the Fourth Proportional to 3,724.34, 5,586.21 and 1,644.39

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Solution

The fourth proportional to 3,724.34, 5,586.21 and 1,644.39 is: 2,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724.34 : 5,586.21 = 1,644.39 : x
  2. Step 2: Convert to fraction form
    3,724.34/5,586.21 = 1,644.39/x
  3. Step 3: Cross multiply
    3,724.34x = 5,586.21 × 1,644.39
  4. Step 4: Simplify right side
    3,724.34x = 9,185,907.86
  5. Step 5: Solve for x
    x = 9,185,907.86/3,724.34
  6. Step 6: Final answer
    x = 2,466.46

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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.