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Finding the Fourth Proportional to 5,323.37, 7,986.17 and 1,813.10

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Solution

The fourth proportional to 5,323.37, 7,986.17 and 1,813.10 is: 2,720.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.37 : 7,986.17 = 1,813.10 : x
  2. Step 2: Convert to fraction form
    5,323.37/7,986.17 = 1,813.10/x
  3. Step 3: Cross multiply
    5,323.37x = 7,986.17 × 1,813.10
  4. Step 4: Simplify right side
    5,323.37x = 14,479,709.18
  5. Step 5: Solve for x
    x = 14,479,709.18/5,323.37
  6. Step 6: Final answer
    x = 2,720.03

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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.