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Finding the Fourth Proportional to 3,612.89, 5,422.41 and 1,423.16

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Solution

The fourth proportional to 3,612.89, 5,422.41 and 1,423.16 is: 2,135.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.89 : 5,422.41 = 1,423.16 : x
  2. Step 2: Convert to fraction form
    3,612.89/5,422.41 = 1,423.16/x
  3. Step 3: Cross multiply
    3,612.89x = 5,422.41 × 1,423.16
  4. Step 4: Simplify right side
    3,612.89x = 7,716,929.90
  5. Step 5: Solve for x
    x = 7,716,929.90/3,612.89
  6. Step 6: Final answer
    x = 2,135.95

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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.