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Finding the Fourth Proportional to 3,677.94, 5,076.09 and 2,353.14

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Solution

The fourth proportional to 3,677.94, 5,076.09 and 2,353.14 is: 3,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.94 : 5,076.09 = 2,353.14 : x
  2. Step 2: Convert to fraction form
    3,677.94/5,076.09 = 2,353.14/x
  3. Step 3: Cross multiply
    3,677.94x = 5,076.09 × 2,353.14
  4. Step 4: Simplify right side
    3,677.94x = 11,944,750.42
  5. Step 5: Solve for x
    x = 11,944,750.42/3,677.94
  6. Step 6: Final answer
    x = 3,247.67

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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.