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Finding the Fourth Proportional to 5,073, 7,609.50 and 1,610.25

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Solution

The fourth proportional to 5,073, 7,609.50 and 1,610.25 is: 2,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073 : 7,609.50 = 1,610.25 : x
  2. Step 2: Convert to fraction form
    5,073/7,609.50 = 1,610.25/x
  3. Step 3: Cross multiply
    5,073x = 7,609.50 × 1,610.25
  4. Step 4: Simplify right side
    5,073x = 12,253,201.40
  5. Step 5: Solve for x
    x = 12,253,201.40/5,073
  6. Step 6: Final answer
    x = 2,415.38

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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.