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Finding the Fourth Proportional to 5,321.38, 7,980.81 and 2,358.20

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Solution

The fourth proportional to 5,321.38, 7,980.81 and 2,358.20 is: 3,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.38 : 7,980.81 = 2,358.20 : x
  2. Step 2: Convert to fraction form
    5,321.38/7,980.81 = 2,358.20/x
  3. Step 3: Cross multiply
    5,321.38x = 7,980.81 × 2,358.20
  4. Step 4: Simplify right side
    5,321.38x = 18,820,346.14
  5. Step 5: Solve for x
    x = 18,820,346.14/5,321.38
  6. Step 6: Final answer
    x = 3,536.74

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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.