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Finding the Fourth Proportional to 3,772.64, 5,662.30 and 2,019.08

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Solution

The fourth proportional to 3,772.64, 5,662.30 and 2,019.08 is: 3,030.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.64 : 5,662.30 = 2,019.08 : x
  2. Step 2: Convert to fraction form
    3,772.64/5,662.30 = 2,019.08/x
  3. Step 3: Cross multiply
    3,772.64x = 5,662.30 × 2,019.08
  4. Step 4: Simplify right side
    3,772.64x = 11,432,636.68
  5. Step 5: Solve for x
    x = 11,432,636.68/3,772.64
  6. Step 6: Final answer
    x = 3,030.41

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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.