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Finding the Fourth Proportional to 5,233.72, 7,850.58 and 2,315

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Solution

The fourth proportional to 5,233.72, 7,850.58 and 2,315 is: 3,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.72 : 7,850.58 = 2,315 : x
  2. Step 2: Convert to fraction form
    5,233.72/7,850.58 = 2,315/x
  3. Step 3: Cross multiply
    5,233.72x = 7,850.58 × 2,315
  4. Step 4: Simplify right side
    5,233.72x = 18,174,092.70
  5. Step 5: Solve for x
    x = 18,174,092.70/5,233.72
  6. Step 6: Final answer
    x = 3,472.50

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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.