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Finding the Fourth Proportional to 3,612.60, 5,415.69 and 1,422.90

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Solution

The fourth proportional to 3,612.60, 5,415.69 and 1,422.90 is: 2,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.60 : 5,415.69 = 1,422.90 : x
  2. Step 2: Convert to fraction form
    3,612.60/5,415.69 = 1,422.90/x
  3. Step 3: Cross multiply
    3,612.60x = 5,415.69 × 1,422.90
  4. Step 4: Simplify right side
    3,612.60x = 7,705,985.30
  5. Step 5: Solve for x
    x = 7,705,985.30/3,612.60
  6. Step 6: Final answer
    x = 2,133.09

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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.