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Finding the Fourth Proportional to 5,114.45, 7,672.91 and 1,782.21

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Solution

The fourth proportional to 5,114.45, 7,672.91 and 1,782.21 is: 2,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.45 : 7,672.91 = 1,782.21 : x
  2. Step 2: Convert to fraction form
    5,114.45/7,672.91 = 1,782.21/x
  3. Step 3: Cross multiply
    5,114.45x = 7,672.91 × 1,782.21
  4. Step 4: Simplify right side
    5,114.45x = 13,674,736.93
  5. Step 5: Solve for x
    x = 13,674,736.93/5,114.45
  6. Step 6: Final answer
    x = 2,673.75

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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.