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Finding the Fourth Proportional to 3,828.60, 5,743.44 and 1,749.12

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Solution

The fourth proportional to 3,828.60, 5,743.44 and 1,749.12 is: 2,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.60 : 5,743.44 = 1,749.12 : x
  2. Step 2: Convert to fraction form
    3,828.60/5,743.44 = 1,749.12/x
  3. Step 3: Cross multiply
    3,828.60x = 5,743.44 × 1,749.12
  4. Step 4: Simplify right side
    3,828.60x = 10,045,965.77
  5. Step 5: Solve for x
    x = 10,045,965.77/3,828.60
  6. Step 6: Final answer
    x = 2,623.93

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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.