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Finding the Fourth Proportional to 5,388.16, 7,427.86 and 3,568.14

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Solution

The fourth proportional to 5,388.16, 7,427.86 and 3,568.14 is: 4,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.16 : 7,427.86 = 3,568.14 : x
  2. Step 2: Convert to fraction form
    5,388.16/7,427.86 = 3,568.14/x
  3. Step 3: Cross multiply
    5,388.16x = 7,427.86 × 3,568.14
  4. Step 4: Simplify right side
    5,388.16x = 26,503,644.38
  5. Step 5: Solve for x
    x = 26,503,644.38/5,388.16
  6. Step 6: Final answer
    x = 4,918.87

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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.