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Finding the Fourth Proportional to 4,241.71, 5,852.68 and 2,749.42

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Solution

The fourth proportional to 4,241.71, 5,852.68 and 2,749.42 is: 3,793.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.71 : 5,852.68 = 2,749.42 : x
  2. Step 2: Convert to fraction form
    4,241.71/5,852.68 = 2,749.42/x
  3. Step 3: Cross multiply
    4,241.71x = 5,852.68 × 2,749.42
  4. Step 4: Simplify right side
    4,241.71x = 16,091,475.45
  5. Step 5: Solve for x
    x = 16,091,475.45/4,241.71
  6. Step 6: Final answer
    x = 3,793.63

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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.