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Finding the Fourth Proportional to 4,798.28, 6,611.76 and 3,679.16

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Solution

The fourth proportional to 4,798.28, 6,611.76 and 3,679.16 is: 5,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.28 : 6,611.76 = 3,679.16 : x
  2. Step 2: Convert to fraction form
    4,798.28/6,611.76 = 3,679.16/x
  3. Step 3: Cross multiply
    4,798.28x = 6,611.76 × 3,679.16
  4. Step 4: Simplify right side
    4,798.28x = 24,325,722.92
  5. Step 5: Solve for x
    x = 24,325,722.92/4,798.28
  6. Step 6: Final answer
    x = 5,069.68

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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.