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Finding the Fourth Proportional to 5,255.16, 7,252.17 and 2,897.38

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Solution

The fourth proportional to 5,255.16, 7,252.17 and 2,897.38 is: 3,998.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.16 : 7,252.17 = 2,897.38 : x
  2. Step 2: Convert to fraction form
    5,255.16/7,252.17 = 2,897.38/x
  3. Step 3: Cross multiply
    5,255.16x = 7,252.17 × 2,897.38
  4. Step 4: Simplify right side
    5,255.16x = 21,012,292.31
  5. Step 5: Solve for x
    x = 21,012,292.31/5,255.16
  6. Step 6: Final answer
    x = 3,998.41

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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.