Home / 4,116-6,175.39-1,305.29

Finding the Fourth Proportional to 4,116, 6,175.39 and 1,305.29

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Solution

The fourth proportional to 4,116, 6,175.39 and 1,305.29 is: 1,958.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116 : 6,175.39 = 1,305.29 : x
  2. Step 2: Convert to fraction form
    4,116/6,175.39 = 1,305.29/x
  3. Step 3: Cross multiply
    4,116x = 6,175.39 × 1,305.29
  4. Step 4: Simplify right side
    4,116x = 8,060,668.29
  5. Step 5: Solve for x
    x = 8,060,668.29/4,116
  6. Step 6: Final answer
    x = 1,958.37

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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.