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Finding the Fourth Proportional to 5,744.34, 8,613.99 and 1,794.51

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Solution

The fourth proportional to 5,744.34, 8,613.99 and 1,794.51 is: 2,690.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.34 : 8,613.99 = 1,794.51 : x
  2. Step 2: Convert to fraction form
    5,744.34/8,613.99 = 1,794.51/x
  3. Step 3: Cross multiply
    5,744.34x = 8,613.99 × 1,794.51
  4. Step 4: Simplify right side
    5,744.34x = 15,457,891.19
  5. Step 5: Solve for x
    x = 15,457,891.19/5,744.34
  6. Step 6: Final answer
    x = 2,690.98

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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.