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Finding the Fourth Proportional to 5,489.08, 8,237.04 and 2,026

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Solution

The fourth proportional to 5,489.08, 8,237.04 and 2,026 is: 3,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.08 : 8,237.04 = 2,026 : x
  2. Step 2: Convert to fraction form
    5,489.08/8,237.04 = 2,026/x
  3. Step 3: Cross multiply
    5,489.08x = 8,237.04 × 2,026
  4. Step 4: Simplify right side
    5,489.08x = 16,688,243.04
  5. Step 5: Solve for x
    x = 16,688,243.04/5,489.08
  6. Step 6: Final answer
    x = 3,040.26

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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.