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Finding the Fourth Proportional to 5,332.38, 7,358.85 and 2,942.46

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Solution

The fourth proportional to 5,332.38, 7,358.85 and 2,942.46 is: 4,060.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332.38 : 7,358.85 = 2,942.46 : x
  2. Step 2: Convert to fraction form
    5,332.38/7,358.85 = 2,942.46/x
  3. Step 3: Cross multiply
    5,332.38x = 7,358.85 × 2,942.46
  4. Step 4: Simplify right side
    5,332.38x = 21,653,121.77
  5. Step 5: Solve for x
    x = 21,653,121.77/5,332.38
  6. Step 6: Final answer
    x = 4,060.69

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Why These Related Problems?

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