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Finding the Fourth Proportional to 5,297.96, 7,944.53 and 2,008.72

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Solution

The fourth proportional to 5,297.96, 7,944.53 and 2,008.72 is: 3,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.96 : 7,944.53 = 2,008.72 : x
  2. Step 2: Convert to fraction form
    5,297.96/7,944.53 = 2,008.72/x
  3. Step 3: Cross multiply
    5,297.96x = 7,944.53 × 2,008.72
  4. Step 4: Simplify right side
    5,297.96x = 15,958,302.80
  5. Step 5: Solve for x
    x = 15,958,302.80/5,297.96
  6. Step 6: Final answer
    x = 3,012.16

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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.