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Finding the Fourth Proportional to 4,950.55, 6,832.38 and 2,825.58

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Solution

The fourth proportional to 4,950.55, 6,832.38 and 2,825.58 is: 3,899.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.55 : 6,832.38 = 2,825.58 : x
  2. Step 2: Convert to fraction form
    4,950.55/6,832.38 = 2,825.58/x
  3. Step 3: Cross multiply
    4,950.55x = 6,832.38 × 2,825.58
  4. Step 4: Simplify right side
    4,950.55x = 19,305,472.50
  5. Step 5: Solve for x
    x = 19,305,472.50/4,950.55
  6. Step 6: Final answer
    x = 3,899.66

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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.