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Finding the Fourth Proportional to 4,644.33, 6,409.11 and 2,548.45

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Solution

The fourth proportional to 4,644.33, 6,409.11 and 2,548.45 is: 3,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.33 : 6,409.11 = 2,548.45 : x
  2. Step 2: Convert to fraction form
    4,644.33/6,409.11 = 2,548.45/x
  3. Step 3: Cross multiply
    4,644.33x = 6,409.11 × 2,548.45
  4. Step 4: Simplify right side
    4,644.33x = 16,333,296.38
  5. Step 5: Solve for x
    x = 16,333,296.38/4,644.33
  6. Step 6: Final answer
    x = 3,516.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.