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Finding the Fourth Proportional to 3,641.06, 5,018 and 2,644.60

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Solution

The fourth proportional to 3,641.06, 5,018 and 2,644.60 is: 3,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.06 : 5,018 = 2,644.60 : x
  2. Step 2: Convert to fraction form
    3,641.06/5,018 = 2,644.60/x
  3. Step 3: Cross multiply
    3,641.06x = 5,018 × 2,644.60
  4. Step 4: Simplify right side
    3,641.06x = 13,270,602.80
  5. Step 5: Solve for x
    x = 13,270,602.80/3,641.06
  6. Step 6: Final answer
    x = 3,644.71

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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.