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Finding the Fourth Proportional to 4,512.96, 6,225.84 and 2,744.16

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Solution

The fourth proportional to 4,512.96, 6,225.84 and 2,744.16 is: 3,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.96 : 6,225.84 = 2,744.16 : x
  2. Step 2: Convert to fraction form
    4,512.96/6,225.84 = 2,744.16/x
  3. Step 3: Cross multiply
    4,512.96x = 6,225.84 × 2,744.16
  4. Step 4: Simplify right side
    4,512.96x = 17,084,701.09
  5. Step 5: Solve for x
    x = 17,084,701.09/4,512.96
  6. Step 6: Final answer
    x = 3,785.70

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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.