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Finding the Fourth Proportional to 5,741.58, 7,921.92 and 3,503.31

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Solution

The fourth proportional to 5,741.58, 7,921.92 and 3,503.31 is: 4,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.58 : 7,921.92 = 3,503.31 : x
  2. Step 2: Convert to fraction form
    5,741.58/7,921.92 = 3,503.31/x
  3. Step 3: Cross multiply
    5,741.58x = 7,921.92 × 3,503.31
  4. Step 4: Simplify right side
    5,741.58x = 27,752,941.56
  5. Step 5: Solve for x
    x = 27,752,941.56/5,741.58
  6. Step 6: Final answer
    x = 4,833.68

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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.