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Finding the Fourth Proportional to 3,873.39, 5,783.86 and 3,042.33

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Solution

The fourth proportional to 3,873.39, 5,783.86 and 3,042.33 is: 4,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.39 : 5,783.86 = 3,042.33 : x
  2. Step 2: Convert to fraction form
    3,873.39/5,783.86 = 3,042.33/x
  3. Step 3: Cross multiply
    3,873.39x = 5,783.86 × 3,042.33
  4. Step 4: Simplify right side
    3,873.39x = 17,596,410.79
  5. Step 5: Solve for x
    x = 17,596,410.79/3,873.39
  6. Step 6: Final answer
    x = 4,542.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.