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Finding the Fourth Proportional to 3,645.60, 5,460.30 and 1,912.20

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Solution

The fourth proportional to 3,645.60, 5,460.30 and 1,912.20 is: 2,864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.60 : 5,460.30 = 1,912.20 : x
  2. Step 2: Convert to fraction form
    3,645.60/5,460.30 = 1,912.20/x
  3. Step 3: Cross multiply
    3,645.60x = 5,460.30 × 1,912.20
  4. Step 4: Simplify right side
    3,645.60x = 10,441,185.66
  5. Step 5: Solve for x
    x = 10,441,185.66/3,645.60
  6. Step 6: Final answer
    x = 2,864.05

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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.