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Finding the Fourth Proportional to 3,783.58, 5,673.54 and 1,318.34

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Solution

The fourth proportional to 3,783.58, 5,673.54 and 1,318.34 is: 1,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.58 : 5,673.54 = 1,318.34 : x
  2. Step 2: Convert to fraction form
    3,783.58/5,673.54 = 1,318.34/x
  3. Step 3: Cross multiply
    3,783.58x = 5,673.54 × 1,318.34
  4. Step 4: Simplify right side
    3,783.58x = 7,479,654.72
  5. Step 5: Solve for x
    x = 7,479,654.72/3,783.58
  6. Step 6: Final answer
    x = 1,976.87

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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.