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Finding the Fourth Proportional to 3,402.80, 5,104.20 and 2,423.60

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Solution

The fourth proportional to 3,402.80, 5,104.20 and 2,423.60 is: 3,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.80 : 5,104.20 = 2,423.60 : x
  2. Step 2: Convert to fraction form
    3,402.80/5,104.20 = 2,423.60/x
  3. Step 3: Cross multiply
    3,402.80x = 5,104.20 × 2,423.60
  4. Step 4: Simplify right side
    3,402.80x = 12,370,539.12
  5. Step 5: Solve for x
    x = 12,370,539.12/3,402.80
  6. Step 6: Final answer
    x = 3,635.40

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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.