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Finding the Fourth Proportional to 4,782.46, 7,179.72 and 4,560.88

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Solution

The fourth proportional to 4,782.46, 7,179.72 and 4,560.88 is: 6,847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.46 : 7,179.72 = 4,560.88 : x
  2. Step 2: Convert to fraction form
    4,782.46/7,179.72 = 4,560.88/x
  3. Step 3: Cross multiply
    4,782.46x = 7,179.72 × 4,560.88
  4. Step 4: Simplify right side
    4,782.46x = 32,745,841.35
  5. Step 5: Solve for x
    x = 32,745,841.35/4,782.46
  6. Step 6: Final answer
    x = 6,847.07

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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.