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Finding the Fourth Proportional to 5,297.89, 7,938.19 and 2,697.25

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Solution

The fourth proportional to 5,297.89, 7,938.19 and 2,697.25 is: 4,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.89 : 7,938.19 = 2,697.25 : x
  2. Step 2: Convert to fraction form
    5,297.89/7,938.19 = 2,697.25/x
  3. Step 3: Cross multiply
    5,297.89x = 7,938.19 × 2,697.25
  4. Step 4: Simplify right side
    5,297.89x = 21,411,282.98
  5. Step 5: Solve for x
    x = 21,411,282.98/5,297.89
  6. Step 6: Final answer
    x = 4,041.47

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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.