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Finding the Fourth Proportional to 3,783.90, 5,676.18 and 1,318.68

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Solution

The fourth proportional to 3,783.90, 5,676.18 and 1,318.68 is: 1,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.90 : 5,676.18 = 1,318.68 : x
  2. Step 2: Convert to fraction form
    3,783.90/5,676.18 = 1,318.68/x
  3. Step 3: Cross multiply
    3,783.90x = 5,676.18 × 1,318.68
  4. Step 4: Simplify right side
    3,783.90x = 7,485,065.04
  5. Step 5: Solve for x
    x = 7,485,065.04/3,783.90
  6. Step 6: Final answer
    x = 1,978.14

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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.