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Finding the Fourth Proportional to 5,251.16, 7,246.64 and 2,893.38

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Solution

The fourth proportional to 5,251.16, 7,246.64 and 2,893.38 is: 3,992.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.16 : 7,246.64 = 2,893.38 : x
  2. Step 2: Convert to fraction form
    5,251.16/7,246.64 = 2,893.38/x
  3. Step 3: Cross multiply
    5,251.16x = 7,246.64 × 2,893.38
  4. Step 4: Simplify right side
    5,251.16x = 20,967,283.24
  5. Step 5: Solve for x
    x = 20,967,283.24/5,251.16
  6. Step 6: Final answer
    x = 3,992.89

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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.