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Finding the Fourth Proportional to 6,164.80, 8,498.64 and 3,805.36

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Solution

The fourth proportional to 6,164.80, 8,498.64 and 3,805.36 is: 5,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.80 : 8,498.64 = 3,805.36 : x
  2. Step 2: Convert to fraction form
    6,164.80/8,498.64 = 3,805.36/x
  3. Step 3: Cross multiply
    6,164.80x = 8,498.64 × 3,805.36
  4. Step 4: Simplify right side
    6,164.80x = 32,340,384.71
  5. Step 5: Solve for x
    x = 32,340,384.71/6,164.80
  6. Step 6: Final answer
    x = 5,245.97

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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.