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Finding the Fourth Proportional to 3,748.68, 5,172.12 and 2,256.12

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Solution

The fourth proportional to 3,748.68, 5,172.12 and 2,256.12 is: 3,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.68 : 5,172.12 = 2,256.12 : x
  2. Step 2: Convert to fraction form
    3,748.68/5,172.12 = 2,256.12/x
  3. Step 3: Cross multiply
    3,748.68x = 5,172.12 × 2,256.12
  4. Step 4: Simplify right side
    3,748.68x = 11,668,923.37
  5. Step 5: Solve for x
    x = 11,668,923.37/3,748.68
  6. Step 6: Final answer
    x = 3,112.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.