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Finding the Fourth Proportional to 3,783.55, 5,676.09 and 1,318.56

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Solution

The fourth proportional to 3,783.55, 5,676.09 and 1,318.56 is: 1,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.55 : 5,676.09 = 1,318.56 : x
  2. Step 2: Convert to fraction form
    3,783.55/5,676.09 = 1,318.56/x
  3. Step 3: Cross multiply
    3,783.55x = 5,676.09 × 1,318.56
  4. Step 4: Simplify right side
    3,783.55x = 7,484,265.23
  5. Step 5: Solve for x
    x = 7,484,265.23/3,783.55
  6. Step 6: Final answer
    x = 1,978.11

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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.