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Finding the Fourth Proportional to 5,406.90, 8,099.07 and 2,801.94

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Solution

The fourth proportional to 5,406.90, 8,099.07 and 2,801.94 is: 4,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.90 : 8,099.07 = 2,801.94 : x
  2. Step 2: Convert to fraction form
    5,406.90/8,099.07 = 2,801.94/x
  3. Step 3: Cross multiply
    5,406.90x = 8,099.07 × 2,801.94
  4. Step 4: Simplify right side
    5,406.90x = 22,693,108.20
  5. Step 5: Solve for x
    x = 22,693,108.20/5,406.90
  6. Step 6: Final answer
    x = 4,197.06

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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.