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Finding the Fourth Proportional to 3,653.04, 5,025.25 and 3,202.88

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Solution

The fourth proportional to 3,653.04, 5,025.25 and 3,202.88 is: 4,405.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.04 : 5,025.25 = 3,202.88 : x
  2. Step 2: Convert to fraction form
    3,653.04/5,025.25 = 3,202.88/x
  3. Step 3: Cross multiply
    3,653.04x = 5,025.25 × 3,202.88
  4. Step 4: Simplify right side
    3,653.04x = 16,095,272.72
  5. Step 5: Solve for x
    x = 16,095,272.72/3,653.04
  6. Step 6: Final answer
    x = 4,405.99

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