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Finding the Fourth Proportional to 5,632, 8,449.12 and 1,736.24

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Solution

The fourth proportional to 5,632, 8,449.12 and 1,736.24 is: 2,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632 : 8,449.12 = 1,736.24 : x
  2. Step 2: Convert to fraction form
    5,632/8,449.12 = 1,736.24/x
  3. Step 3: Cross multiply
    5,632x = 8,449.12 × 1,736.24
  4. Step 4: Simplify right side
    5,632x = 14,669,700.11
  5. Step 5: Solve for x
    x = 14,669,700.11/5,632
  6. Step 6: Final answer
    x = 2,604.71

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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.