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Finding the Fourth Proportional to 4,092.50, 5,652 and 3,215.00

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Solution

The fourth proportional to 4,092.50, 5,652 and 3,215.00 is: 4,440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.50 : 5,652 = 3,215.00 : x
  2. Step 2: Convert to fraction form
    4,092.50/5,652 = 3,215.00/x
  3. Step 3: Cross multiply
    4,092.50x = 5,652 × 3,215.00
  4. Step 4: Simplify right side
    4,092.50x = 18,171,151.74
  5. Step 5: Solve for x
    x = 18,171,151.74/4,092.50
  6. Step 6: Final answer
    x = 4,440.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.