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Finding the Fourth Proportional to 5,332.25, 7,358.83 and 2,942.21

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Solution

The fourth proportional to 5,332.25, 7,358.83 and 2,942.21 is: 4,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332.25 : 7,358.83 = 2,942.21 : x
  2. Step 2: Convert to fraction form
    5,332.25/7,358.83 = 2,942.21/x
  3. Step 3: Cross multiply
    5,332.25x = 7,358.83 × 2,942.21
  4. Step 4: Simplify right side
    5,332.25x = 21,651,179.06
  5. Step 5: Solve for x
    x = 21,651,179.06/5,332.25
  6. Step 6: Final answer
    x = 4,060.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.