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Finding the Fourth Proportional to 6,752.75, 9,318.76 and 3,768.57

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Solution

The fourth proportional to 6,752.75, 9,318.76 and 3,768.57 is: 5,200.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.75 : 9,318.76 = 3,768.57 : x
  2. Step 2: Convert to fraction form
    6,752.75/9,318.76 = 3,768.57/x
  3. Step 3: Cross multiply
    6,752.75x = 9,318.76 × 3,768.57
  4. Step 4: Simplify right side
    6,752.75x = 35,118,389.95
  5. Step 5: Solve for x
    x = 35,118,389.95/6,752.75
  6. Step 6: Final answer
    x = 5,200.61

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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.