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Finding the Fourth Proportional to 3,612.64, 5,418.96 and 1,422.40

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Solution

The fourth proportional to 3,612.64, 5,418.96 and 1,422.40 is: 2,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.64 : 5,418.96 = 1,422.40 : x
  2. Step 2: Convert to fraction form
    3,612.64/5,418.96 = 1,422.40/x
  3. Step 3: Cross multiply
    3,612.64x = 5,418.96 × 1,422.40
  4. Step 4: Simplify right side
    3,612.64x = 7,707,928.70
  5. Step 5: Solve for x
    x = 7,707,928.70/3,612.64
  6. Step 6: Final answer
    x = 2,133.60

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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.