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Finding the Fourth Proportional to 5,955.85, 8,200.38 and 5,057.72

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Solution

The fourth proportional to 5,955.85, 8,200.38 and 5,057.72 is: 6,963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,955.85 : 8,200.38 = 5,057.72 : x
  2. Step 2: Convert to fraction form
    5,955.85/8,200.38 = 5,057.72/x
  3. Step 3: Cross multiply
    5,955.85x = 8,200.38 × 5,057.72
  4. Step 4: Simplify right side
    5,955.85x = 41,475,225.93
  5. Step 5: Solve for x
    x = 41,475,225.93/5,955.85
  6. Step 6: Final answer
    x = 6,963.78

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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.