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Finding the Fourth Proportional to 3,639.40, 5,010.06 and 3,266.26

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Solution

The fourth proportional to 3,639.40, 5,010.06 and 3,266.26 is: 4,496.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.40 : 5,010.06 = 3,266.26 : x
  2. Step 2: Convert to fraction form
    3,639.40/5,010.06 = 3,266.26/x
  3. Step 3: Cross multiply
    3,639.40x = 5,010.06 × 3,266.26
  4. Step 4: Simplify right side
    3,639.40x = 16,364,158.58
  5. Step 5: Solve for x
    x = 16,364,158.58/3,639.40
  6. Step 6: Final answer
    x = 4,496.39

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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.