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Finding the Fourth Proportional to 4,784.64, 6,601.42 and 3,016.82

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Solution

The fourth proportional to 4,784.64, 6,601.42 and 3,016.82 is: 4,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.64 : 6,601.42 = 3,016.82 : x
  2. Step 2: Convert to fraction form
    4,784.64/6,601.42 = 3,016.82/x
  3. Step 3: Cross multiply
    4,784.64x = 6,601.42 × 3,016.82
  4. Step 4: Simplify right side
    4,784.64x = 19,915,295.88
  5. Step 5: Solve for x
    x = 19,915,295.88/4,784.64
  6. Step 6: Final answer
    x = 4,162.34

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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.