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Finding the Fourth Proportional to 5,063, 7,588.82 and 3,826.40

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Solution

The fourth proportional to 5,063, 7,588.82 and 3,826.40 is: 5,735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063 : 7,588.82 = 3,826.40 : x
  2. Step 2: Convert to fraction form
    5,063/7,588.82 = 3,826.40/x
  3. Step 3: Cross multiply
    5,063x = 7,588.82 × 3,826.40
  4. Step 4: Simplify right side
    5,063x = 29,037,860.85
  5. Step 5: Solve for x
    x = 29,037,860.85/5,063
  6. Step 6: Final answer
    x = 5,735.31

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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.