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Finding the Fourth Proportional to 5,402.60, 8,104.80 and 2,115.80

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Solution

The fourth proportional to 5,402.60, 8,104.80 and 2,115.80 is: 3,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.60 : 8,104.80 = 2,115.80 : x
  2. Step 2: Convert to fraction form
    5,402.60/8,104.80 = 2,115.80/x
  3. Step 3: Cross multiply
    5,402.60x = 8,104.80 × 2,115.80
  4. Step 4: Simplify right side
    5,402.60x = 17,148,135.84
  5. Step 5: Solve for x
    x = 17,148,135.84/5,402.60
  6. Step 6: Final answer
    x = 3,174.05

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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.