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Finding the Fourth Proportional to 4,932.86, 7,396.56 and 1,644.16

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Solution

The fourth proportional to 4,932.86, 7,396.56 and 1,644.16 is: 2,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.86 : 7,396.56 = 1,644.16 : x
  2. Step 2: Convert to fraction form
    4,932.86/7,396.56 = 1,644.16/x
  3. Step 3: Cross multiply
    4,932.86x = 7,396.56 × 1,644.16
  4. Step 4: Simplify right side
    4,932.86x = 12,161,128.09
  5. Step 5: Solve for x
    x = 12,161,128.09/4,932.86
  6. Step 6: Final answer
    x = 2,465.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.