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Finding the Fourth Proportional to 5,402.21, 8,103.04 and 2,115.90

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Solution

The fourth proportional to 5,402.21, 8,103.04 and 2,115.90 is: 3,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.21 : 8,103.04 = 2,115.90 : x
  2. Step 2: Convert to fraction form
    5,402.21/8,103.04 = 2,115.90/x
  3. Step 3: Cross multiply
    5,402.21x = 8,103.04 × 2,115.90
  4. Step 4: Simplify right side
    5,402.21x = 17,145,222.34
  5. Step 5: Solve for x
    x = 17,145,222.34/5,402.21
  6. Step 6: Final answer
    x = 3,173.74

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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.