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Finding the Fourth Proportional to 4,933.36, 7,397.31 and 1,644.66

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Solution

The fourth proportional to 4,933.36, 7,397.31 and 1,644.66 is: 2,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.36 : 7,397.31 = 1,644.66 : x
  2. Step 2: Convert to fraction form
    4,933.36/7,397.31 = 1,644.66/x
  3. Step 3: Cross multiply
    4,933.36x = 7,397.31 × 1,644.66
  4. Step 4: Simplify right side
    4,933.36x = 12,166,059.86
  5. Step 5: Solve for x
    x = 12,166,059.86/4,933.36
  6. Step 6: Final answer
    x = 2,466.08

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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.