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Finding the Fourth Proportional to 4,757.76, 6,565.44 and 2,768.64

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Solution

The fourth proportional to 4,757.76, 6,565.44 and 2,768.64 is: 3,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.76 : 6,565.44 = 2,768.64 : x
  2. Step 2: Convert to fraction form
    4,757.76/6,565.44 = 2,768.64/x
  3. Step 3: Cross multiply
    4,757.76x = 6,565.44 × 2,768.64
  4. Step 4: Simplify right side
    4,757.76x = 18,177,339.80
  5. Step 5: Solve for x
    x = 18,177,339.80/4,757.76
  6. Step 6: Final answer
    x = 3,820.57

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