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Finding the Fourth Proportional to 3,738.67, 5,598.74 and 2,173.93

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Solution

The fourth proportional to 3,738.67, 5,598.74 and 2,173.93 is: 3,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.67 : 5,598.74 = 2,173.93 : x
  2. Step 2: Convert to fraction form
    3,738.67/5,598.74 = 2,173.93/x
  3. Step 3: Cross multiply
    3,738.67x = 5,598.74 × 2,173.93
  4. Step 4: Simplify right side
    3,738.67x = 12,171,260.29
  5. Step 5: Solve for x
    x = 12,171,260.29/3,738.67
  6. Step 6: Final answer
    x = 3,255.51

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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.