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Finding the Fourth Proportional to 3,612.96, 5,415.72 and 1,420.80

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Solution

The fourth proportional to 3,612.96, 5,415.72 and 1,420.80 is: 2,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.96 : 5,415.72 = 1,420.80 : x
  2. Step 2: Convert to fraction form
    3,612.96/5,415.72 = 1,420.80/x
  3. Step 3: Cross multiply
    3,612.96x = 5,415.72 × 1,420.80
  4. Step 4: Simplify right side
    3,612.96x = 7,694,654.98
  5. Step 5: Solve for x
    x = 7,694,654.98/3,612.96
  6. Step 6: Final answer
    x = 2,129.74

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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.