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Finding the Fourth Proportional to 4,178.53, 5,765.16 and 2,409.78

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Solution

The fourth proportional to 4,178.53, 5,765.16 and 2,409.78 is: 3,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.53 : 5,765.16 = 2,409.78 : x
  2. Step 2: Convert to fraction form
    4,178.53/5,765.16 = 2,409.78/x
  3. Step 3: Cross multiply
    4,178.53x = 5,765.16 × 2,409.78
  4. Step 4: Simplify right side
    4,178.53x = 13,892,767.26
  5. Step 5: Solve for x
    x = 13,892,767.26/4,178.53
  6. Step 6: Final answer
    x = 3,324.80

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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.