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Finding the Fourth Proportional to 3,783.47, 5,674.77 and 1,010.43

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Solution

The fourth proportional to 3,783.47, 5,674.77 and 1,010.43 is: 1,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.47 : 5,674.77 = 1,010.43 : x
  2. Step 2: Convert to fraction form
    3,783.47/5,674.77 = 1,010.43/x
  3. Step 3: Cross multiply
    3,783.47x = 5,674.77 × 1,010.43
  4. Step 4: Simplify right side
    3,783.47x = 5,733,957.85
  5. Step 5: Solve for x
    x = 5,733,957.85/3,783.47
  6. Step 6: Final answer
    x = 1,515.53

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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.