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Finding the Fourth Proportional to 5,064.53, 7,593.50 and 2,102.16

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Solution

The fourth proportional to 5,064.53, 7,593.50 and 2,102.16 is: 3,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.53 : 7,593.50 = 2,102.16 : x
  2. Step 2: Convert to fraction form
    5,064.53/7,593.50 = 2,102.16/x
  3. Step 3: Cross multiply
    5,064.53x = 7,593.50 × 2,102.16
  4. Step 4: Simplify right side
    5,064.53x = 15,962,757.22
  5. Step 5: Solve for x
    x = 15,962,757.22/5,064.53
  6. Step 6: Final answer
    x = 3,151.87

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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.