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Finding the Fourth Proportional to 3,775.56, 5,212.79 and 2,361.25

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Solution

The fourth proportional to 3,775.56, 5,212.79 and 2,361.25 is: 3,260.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.56 : 5,212.79 = 2,361.25 : x
  2. Step 2: Convert to fraction form
    3,775.56/5,212.79 = 2,361.25/x
  3. Step 3: Cross multiply
    3,775.56x = 5,212.79 × 2,361.25
  4. Step 4: Simplify right side
    3,775.56x = 12,308,668.42
  5. Step 5: Solve for x
    x = 12,308,668.42/3,775.56
  6. Step 6: Final answer
    x = 3,260.10

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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.