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Finding the Fourth Proportional to 4,861.80, 7,284.60 and 4,682.16

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Solution

The fourth proportional to 4,861.80, 7,284.60 and 4,682.16 is: 7,015.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.80 : 7,284.60 = 4,682.16 : x
  2. Step 2: Convert to fraction form
    4,861.80/7,284.60 = 4,682.16/x
  3. Step 3: Cross multiply
    4,861.80x = 7,284.60 × 4,682.16
  4. Step 4: Simplify right side
    4,861.80x = 34,107,662.74
  5. Step 5: Solve for x
    x = 34,107,662.74/4,861.80
  6. Step 6: Final answer
    x = 7,015.44

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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.