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Finding the Fourth Proportional to 4,406.75, 6,081.32 and 2,543.75

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Solution

The fourth proportional to 4,406.75, 6,081.32 and 2,543.75 is: 3,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.75 : 6,081.32 = 2,543.75 : x
  2. Step 2: Convert to fraction form
    4,406.75/6,081.32 = 2,543.75/x
  3. Step 3: Cross multiply
    4,406.75x = 6,081.32 × 2,543.75
  4. Step 4: Simplify right side
    4,406.75x = 15,469,345.03
  5. Step 5: Solve for x
    x = 15,469,345.03/4,406.75
  6. Step 6: Final answer
    x = 3,510.38

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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.