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Finding the Fourth Proportional to 3,768.45, 5,653.70 and 1,820.65

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Solution

The fourth proportional to 3,768.45, 5,653.70 and 1,820.65 is: 2,731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.45 : 5,653.70 = 1,820.65 : x
  2. Step 2: Convert to fraction form
    3,768.45/5,653.70 = 1,820.65/x
  3. Step 3: Cross multiply
    3,768.45x = 5,653.70 × 1,820.65
  4. Step 4: Simplify right side
    3,768.45x = 10,293,408.91
  5. Step 5: Solve for x
    x = 10,293,408.91/3,768.45
  6. Step 6: Final answer
    x = 2,731.47

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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.