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Finding the Fourth Proportional to 3,653.81, 5,043.21 and 2,255.75

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Solution

The fourth proportional to 3,653.81, 5,043.21 and 2,255.75 is: 3,113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.81 : 5,043.21 = 2,255.75 : x
  2. Step 2: Convert to fraction form
    3,653.81/5,043.21 = 2,255.75/x
  3. Step 3: Cross multiply
    3,653.81x = 5,043.21 × 2,255.75
  4. Step 4: Simplify right side
    3,653.81x = 11,376,220.96
  5. Step 5: Solve for x
    x = 11,376,220.96/3,653.81
  6. Step 6: Final answer
    x = 3,113.52

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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.