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Finding the Fourth Proportional to 3,670.75, 5,065.59 and 1,992.16

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Solution

The fourth proportional to 3,670.75, 5,065.59 and 1,992.16 is: 2,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.75 : 5,065.59 = 1,992.16 : x
  2. Step 2: Convert to fraction form
    3,670.75/5,065.59 = 1,992.16/x
  3. Step 3: Cross multiply
    3,670.75x = 5,065.59 × 1,992.16
  4. Step 4: Simplify right side
    3,670.75x = 10,091,453.11
  5. Step 5: Solve for x
    x = 10,091,453.11/3,670.75
  6. Step 6: Final answer
    x = 2,749.15

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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.