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Finding the Fourth Proportional to 5,287.41, 7,296.54 and 3,049.38

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Solution

The fourth proportional to 5,287.41, 7,296.54 and 3,049.38 is: 4,208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.41 : 7,296.54 = 3,049.38 : x
  2. Step 2: Convert to fraction form
    5,287.41/7,296.54 = 3,049.38/x
  3. Step 3: Cross multiply
    5,287.41x = 7,296.54 × 3,049.38
  4. Step 4: Simplify right side
    5,287.41x = 22,249,923.15
  5. Step 5: Solve for x
    x = 22,249,923.15/5,287.41
  6. Step 6: Final answer
    x = 4,208.09

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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.