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Finding the Fourth Proportional to 3,748.79, 5,172.62 and 2,256.81

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Solution

The fourth proportional to 3,748.79, 5,172.62 and 2,256.81 is: 3,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.79 : 5,172.62 = 2,256.81 : x
  2. Step 2: Convert to fraction form
    3,748.79/5,172.62 = 2,256.81/x
  3. Step 3: Cross multiply
    3,748.79x = 5,172.62 × 2,256.81
  4. Step 4: Simplify right side
    3,748.79x = 11,673,589.86
  5. Step 5: Solve for x
    x = 11,673,589.86/3,748.79
  6. Step 6: Final answer
    x = 3,113.96

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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.