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Finding the Fourth Proportional to 5,287.56, 7,296.58 and 2,897.48

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Solution

The fourth proportional to 5,287.56, 7,296.58 and 2,897.48 is: 3,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.56 : 7,296.58 = 2,897.48 : x
  2. Step 2: Convert to fraction form
    5,287.56/7,296.58 = 2,897.48/x
  3. Step 3: Cross multiply
    5,287.56x = 7,296.58 × 2,897.48
  4. Step 4: Simplify right side
    5,287.56x = 21,141,694.62
  5. Step 5: Solve for x
    x = 21,141,694.62/5,287.56
  6. Step 6: Final answer
    x = 3,998.38

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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.