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Finding the Fourth Proportional to 5,492.69, 8,242.28 and 2,032.37

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Solution

The fourth proportional to 5,492.69, 8,242.28 and 2,032.37 is: 3,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.69 : 8,242.28 = 2,032.37 : x
  2. Step 2: Convert to fraction form
    5,492.69/8,242.28 = 2,032.37/x
  3. Step 3: Cross multiply
    5,492.69x = 8,242.28 × 2,032.37
  4. Step 4: Simplify right side
    5,492.69x = 16,751,352.44
  5. Step 5: Solve for x
    x = 16,751,352.44/5,492.69
  6. Step 6: Final answer
    x = 3,049.75

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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.