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Finding the Fourth Proportional to 3,768.49, 5,653.44 and 1,170.82

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Solution

The fourth proportional to 3,768.49, 5,653.44 and 1,170.82 is: 1,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.49 : 5,653.44 = 1,170.82 : x
  2. Step 2: Convert to fraction form
    3,768.49/5,653.44 = 1,170.82/x
  3. Step 3: Cross multiply
    3,768.49x = 5,653.44 × 1,170.82
  4. Step 4: Simplify right side
    3,768.49x = 6,619,160.62
  5. Step 5: Solve for x
    x = 6,619,160.62/3,768.49
  6. Step 6: Final answer
    x = 1,756.45

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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.