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Finding the Fourth Proportional to 3,659.10, 5,488.02 and 1,318.68

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Solution

The fourth proportional to 3,659.10, 5,488.02 and 1,318.68 is: 1,977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.10 : 5,488.02 = 1,318.68 : x
  2. Step 2: Convert to fraction form
    3,659.10/5,488.02 = 1,318.68/x
  3. Step 3: Cross multiply
    3,659.10x = 5,488.02 × 1,318.68
  4. Step 4: Simplify right side
    3,659.10x = 7,236,942.21
  5. Step 5: Solve for x
    x = 7,236,942.21/3,659.10
  6. Step 6: Final answer
    x = 1,977.79

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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.