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Finding the Fourth Proportional to 5,288, 7,297.44 and 3,080

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Solution

The fourth proportional to 5,288, 7,297.44 and 3,080 is: 4,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288 : 7,297.44 = 3,080 : x
  2. Step 2: Convert to fraction form
    5,288/7,297.44 = 3,080/x
  3. Step 3: Cross multiply
    5,288x = 7,297.44 × 3,080
  4. Step 4: Simplify right side
    5,288x = 22,476,115.20
  5. Step 5: Solve for x
    x = 22,476,115.20/5,288
  6. Step 6: Final answer
    x = 4,250.40

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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.