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Finding the Fourth Proportional to 3,783.96, 5,675.52 and 1,010.92

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Solution

The fourth proportional to 3,783.96, 5,675.52 and 1,010.92 is: 1,516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.96 : 5,675.52 = 1,010.92 : x
  2. Step 2: Convert to fraction form
    3,783.96/5,675.52 = 1,010.92/x
  3. Step 3: Cross multiply
    3,783.96x = 5,675.52 × 1,010.92
  4. Step 4: Simplify right side
    3,783.96x = 5,737,496.68
  5. Step 5: Solve for x
    x = 5,737,496.68/3,783.96
  6. Step 6: Final answer
    x = 1,516.27

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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.