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Finding the Fourth Proportional to 4,177.80, 5,765.22 and 2,409.16

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Solution

The fourth proportional to 4,177.80, 5,765.22 and 2,409.16 is: 3,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.80 : 5,765.22 = 2,409.16 : x
  2. Step 2: Convert to fraction form
    4,177.80/5,765.22 = 2,409.16/x
  3. Step 3: Cross multiply
    4,177.80x = 5,765.22 × 2,409.16
  4. Step 4: Simplify right side
    4,177.80x = 13,889,337.42
  5. Step 5: Solve for x
    x = 13,889,337.42/4,177.80
  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.