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Finding the Fourth Proportional to 3,677.80, 5,516.70 and 3,313.30

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Solution

The fourth proportional to 3,677.80, 5,516.70 and 3,313.30 is: 4,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.80 : 5,516.70 = 3,313.30 : x
  2. Step 2: Convert to fraction form
    3,677.80/5,516.70 = 3,313.30/x
  3. Step 3: Cross multiply
    3,677.80x = 5,516.70 × 3,313.30
  4. Step 4: Simplify right side
    3,677.80x = 18,278,482.11
  5. Step 5: Solve for x
    x = 18,278,482.11/3,677.80
  6. Step 6: Final answer
    x = 4,969.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.