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Finding the Fourth Proportional to 3,783.72, 5,678.17 and 1,318.54

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Solution

The fourth proportional to 3,783.72, 5,678.17 and 1,318.54 is: 1,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.72 : 5,678.17 = 1,318.54 : x
  2. Step 2: Convert to fraction form
    3,783.72/5,678.17 = 1,318.54/x
  3. Step 3: Cross multiply
    3,783.72x = 5,678.17 × 1,318.54
  4. Step 4: Simplify right side
    3,783.72x = 7,486,894.27
  5. Step 5: Solve for x
    x = 7,486,894.27/3,783.72
  6. Step 6: Final answer
    x = 1,978.71

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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.