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Finding the Fourth Proportional to 3,677.37, 5,073.87 and 2,184.67

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Solution

The fourth proportional to 3,677.37, 5,073.87 and 2,184.67 is: 3,014.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.37 : 5,073.87 = 2,184.67 : x
  2. Step 2: Convert to fraction form
    3,677.37/5,073.87 = 2,184.67/x
  3. Step 3: Cross multiply
    3,677.37x = 5,073.87 × 2,184.67
  4. Step 4: Simplify right side
    3,677.37x = 11,084,731.57
  5. Step 5: Solve for x
    x = 11,084,731.57/3,677.37
  6. Step 6: Final answer
    x = 3,014.31

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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.