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Finding the Fourth Proportional to 3,644.30, 5,116.60 and 3,644.30

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Solution

The fourth proportional to 3,644.30, 5,116.60 and 3,644.30 is: 5,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.30 : 5,116.60 = 3,644.30 : x
  2. Step 2: Convert to fraction form
    3,644.30/5,116.60 = 3,644.30/x
  3. Step 3: Cross multiply
    3,644.30x = 5,116.60 × 3,644.30
  4. Step 4: Simplify right side
    3,644.30x = 18,646,425.38
  5. Step 5: Solve for x
    x = 18,646,425.38/3,644.30
  6. Step 6: Final answer
    x = 5,116.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.