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Finding the Fourth Proportional to 3,783.83, 5,675.27 and 1,010.66

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Solution

The fourth proportional to 3,783.83, 5,675.27 and 1,010.66 is: 1,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.83 : 5,675.27 = 1,010.66 : x
  2. Step 2: Convert to fraction form
    3,783.83/5,675.27 = 1,010.66/x
  3. Step 3: Cross multiply
    3,783.83x = 5,675.27 × 1,010.66
  4. Step 4: Simplify right side
    3,783.83x = 5,735,734.95
  5. Step 5: Solve for x
    x = 5,735,734.95/3,783.83
  6. Step 6: Final answer
    x = 1,515.86

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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.