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Finding the Fourth Proportional to 5,241.42, 7,865.37 and 3,851.34

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Solution

The fourth proportional to 5,241.42, 7,865.37 and 3,851.34 is: 5,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.42 : 7,865.37 = 3,851.34 : x
  2. Step 2: Convert to fraction form
    5,241.42/7,865.37 = 3,851.34/x
  3. Step 3: Cross multiply
    5,241.42x = 7,865.37 × 3,851.34
  4. Step 4: Simplify right side
    5,241.42x = 30,292,214.10
  5. Step 5: Solve for x
    x = 30,292,214.10/5,241.42
  6. Step 6: Final answer
    x = 5,779.39

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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.