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Finding the Fourth Proportional to 3,670.85, 5,065.80 and 1,992.28

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Solution

The fourth proportional to 3,670.85, 5,065.80 and 1,992.28 is: 2,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.85 : 5,065.80 = 1,992.28 : x
  2. Step 2: Convert to fraction form
    3,670.85/5,065.80 = 1,992.28/x
  3. Step 3: Cross multiply
    3,670.85x = 5,065.80 × 1,992.28
  4. Step 4: Simplify right side
    3,670.85x = 10,092,482.06
  5. Step 5: Solve for x
    x = 10,092,482.06/3,670.85
  6. Step 6: Final answer
    x = 2,749.36

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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.