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Finding the Fourth Proportional to 4,178.96, 5,765.01 and 2,409.92

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Solution

The fourth proportional to 4,178.96, 5,765.01 and 2,409.92 is: 3,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.96 : 5,765.01 = 2,409.92 : x
  2. Step 2: Convert to fraction form
    4,178.96/5,765.01 = 2,409.92/x
  3. Step 3: Cross multiply
    4,178.96x = 5,765.01 × 2,409.92
  4. Step 4: Simplify right side
    4,178.96x = 13,893,212.90
  5. Step 5: Solve for x
    x = 13,893,212.90/4,178.96
  6. Step 6: Final answer
    x = 3,324.56

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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.