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Finding the Fourth Proportional to 4,946.64, 6,790.04 and 4,501.92

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Solution

The fourth proportional to 4,946.64, 6,790.04 and 4,501.92 is: 6,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.64 : 6,790.04 = 4,501.92 : x
  2. Step 2: Convert to fraction form
    4,946.64/6,790.04 = 4,501.92/x
  3. Step 3: Cross multiply
    4,946.64x = 6,790.04 × 4,501.92
  4. Step 4: Simplify right side
    4,946.64x = 30,568,216.88
  5. Step 5: Solve for x
    x = 30,568,216.88/4,946.64
  6. Step 6: Final answer
    x = 6,179.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.