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Finding the Fourth Proportional to 5,063, 7,593.06 and 2,141.24

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Solution

The fourth proportional to 5,063, 7,593.06 and 2,141.24 is: 3,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063 : 7,593.06 = 2,141.24 : x
  2. Step 2: Convert to fraction form
    5,063/7,593.06 = 2,141.24/x
  3. Step 3: Cross multiply
    5,063x = 7,593.06 × 2,141.24
  4. Step 4: Simplify right side
    5,063x = 16,258,563.79
  5. Step 5: Solve for x
    x = 16,258,563.79/5,063
  6. Step 6: Final answer
    x = 3,211.25

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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.