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Finding the Fourth Proportional to 3,670.25, 5,064.84 and 1,991.58

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Solution

The fourth proportional to 3,670.25, 5,064.84 and 1,991.58 is: 2,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.25 : 5,064.84 = 1,991.58 : x
  2. Step 2: Convert to fraction form
    3,670.25/5,064.84 = 1,991.58/x
  3. Step 3: Cross multiply
    3,670.25x = 5,064.84 × 1,991.58
  4. Step 4: Simplify right side
    3,670.25x = 10,087,034.05
  5. Step 5: Solve for x
    x = 10,087,034.05/3,670.25
  6. Step 6: Final answer
    x = 2,748.33

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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.