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Finding the Fourth Proportional to 3,748.56, 5,172.08 and 2,256.16

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Solution

The fourth proportional to 3,748.56, 5,172.08 and 2,256.16 is: 3,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.56 : 5,172.08 = 2,256.16 : x
  2. Step 2: Convert to fraction form
    3,748.56/5,172.08 = 2,256.16/x
  3. Step 3: Cross multiply
    3,748.56x = 5,172.08 × 2,256.16
  4. Step 4: Simplify right side
    3,748.56x = 11,669,040.01
  5. Step 5: Solve for x
    x = 11,669,040.01/3,748.56
  6. Step 6: Final answer
    x = 3,112.94

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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.