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Finding the Fourth Proportional to 5,674.65, 8,513.05 and 2,211.63

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Solution

The fourth proportional to 5,674.65, 8,513.05 and 2,211.63 is: 3,317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.65 : 8,513.05 = 2,211.63 : x
  2. Step 2: Convert to fraction form
    5,674.65/8,513.05 = 2,211.63/x
  3. Step 3: Cross multiply
    5,674.65x = 8,513.05 × 2,211.63
  4. Step 4: Simplify right side
    5,674.65x = 18,827,716.77
  5. Step 5: Solve for x
    x = 18,827,716.77/5,674.65
  6. Step 6: Final answer
    x = 3,317.86

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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.