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Finding the Fourth Proportional to 3,784.38, 5,677.17 and 1,318.51

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Solution

The fourth proportional to 3,784.38, 5,677.17 and 1,318.51 is: 1,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.38 : 5,677.17 = 1,318.51 : x
  2. Step 2: Convert to fraction form
    3,784.38/5,677.17 = 1,318.51/x
  3. Step 3: Cross multiply
    3,784.38x = 5,677.17 × 1,318.51
  4. Step 4: Simplify right side
    3,784.38x = 7,485,405.42
  5. Step 5: Solve for x
    x = 7,485,405.42/3,784.38
  6. Step 6: Final answer
    x = 1,977.97

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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.