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Finding the Fourth Proportional to 5,297.64, 7,937.82 and 2,697

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Solution

The fourth proportional to 5,297.64, 7,937.82 and 2,697 is: 4,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.64 : 7,937.82 = 2,697 : x
  2. Step 2: Convert to fraction form
    5,297.64/7,937.82 = 2,697/x
  3. Step 3: Cross multiply
    5,297.64x = 7,937.82 × 2,697
  4. Step 4: Simplify right side
    5,297.64x = 21,408,300.54
  5. Step 5: Solve for x
    x = 21,408,300.54/5,297.64
  6. Step 6: Final answer
    x = 4,041.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.