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Finding the Fourth Proportional to 3,759.28, 5,638.76 and 1,783.47

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Solution

The fourth proportional to 3,759.28, 5,638.76 and 1,783.47 is: 2,675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.28 : 5,638.76 = 1,783.47 : x
  2. Step 2: Convert to fraction form
    3,759.28/5,638.76 = 1,783.47/x
  3. Step 3: Cross multiply
    3,759.28x = 5,638.76 × 1,783.47
  4. Step 4: Simplify right side
    3,759.28x = 10,056,529.23
  5. Step 5: Solve for x
    x = 10,056,529.23/3,759.28
  6. Step 6: Final answer
    x = 2,675.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.