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Finding the Fourth Proportional to 4,759.76, 7,133.34 and 3,447.92

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Solution

The fourth proportional to 4,759.76, 7,133.34 and 3,447.92 is: 5,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759.76 : 7,133.34 = 3,447.92 : x
  2. Step 2: Convert to fraction form
    4,759.76/7,133.34 = 3,447.92/x
  3. Step 3: Cross multiply
    4,759.76x = 7,133.34 × 3,447.92
  4. Step 4: Simplify right side
    4,759.76x = 24,595,185.65
  5. Step 5: Solve for x
    x = 24,595,185.65/4,759.76
  6. Step 6: Final answer
    x = 5,167.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.