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Finding the Fourth Proportional to 3,664.17, 5,492.99 and 1,471.41

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Solution

The fourth proportional to 3,664.17, 5,492.99 and 1,471.41 is: 2,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.17 : 5,492.99 = 1,471.41 : x
  2. Step 2: Convert to fraction form
    3,664.17/5,492.99 = 1,471.41/x
  3. Step 3: Cross multiply
    3,664.17x = 5,492.99 × 1,471.41
  4. Step 4: Simplify right side
    3,664.17x = 8,082,433.06
  5. Step 5: Solve for x
    x = 8,082,433.06/3,664.17
  6. Step 6: Final answer
    x = 2,205.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.