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Finding the Fourth Proportional to 4,129.78, 5,699.10 and 2,241.34

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Solution

The fourth proportional to 4,129.78, 5,699.10 and 2,241.34 is: 3,093.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.78 : 5,699.10 = 2,241.34 : x
  2. Step 2: Convert to fraction form
    4,129.78/5,699.10 = 2,241.34/x
  3. Step 3: Cross multiply
    4,129.78x = 5,699.10 × 2,241.34
  4. Step 4: Simplify right side
    4,129.78x = 12,773,620.79
  5. Step 5: Solve for x
    x = 12,773,620.79/4,129.78
  6. Step 6: Final answer
    x = 3,093.05

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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.