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Finding the Fourth Proportional to 5,097.01, 7,033.89 and 2,972.38

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Solution

The fourth proportional to 5,097.01, 7,033.89 and 2,972.38 is: 4,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.01 : 7,033.89 = 2,972.38 : x
  2. Step 2: Convert to fraction form
    5,097.01/7,033.89 = 2,972.38/x
  3. Step 3: Cross multiply
    5,097.01x = 7,033.89 × 2,972.38
  4. Step 4: Simplify right side
    5,097.01x = 20,907,393.96
  5. Step 5: Solve for x
    x = 20,907,393.96/5,097.01
  6. Step 6: Final answer
    x = 4,101.89

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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.