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Finding the Fourth Proportional to 3,643.26, 5,460.06 and 3,179.88

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Solution

The fourth proportional to 3,643.26, 5,460.06 and 3,179.88 is: 4,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.26 : 5,460.06 = 3,179.88 : x
  2. Step 2: Convert to fraction form
    3,643.26/5,460.06 = 3,179.88/x
  3. Step 3: Cross multiply
    3,643.26x = 5,460.06 × 3,179.88
  4. Step 4: Simplify right side
    3,643.26x = 17,362,335.59
  5. Step 5: Solve for x
    x = 17,362,335.59/3,643.26
  6. Step 6: Final answer
    x = 4,765.60

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