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Finding the Fourth Proportional to 3,959.69, 5,939.51 and 1,186.36

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Solution

The fourth proportional to 3,959.69, 5,939.51 and 1,186.36 is: 1,779.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.69 : 5,939.51 = 1,186.36 : x
  2. Step 2: Convert to fraction form
    3,959.69/5,939.51 = 1,186.36/x
  3. Step 3: Cross multiply
    3,959.69x = 5,939.51 × 1,186.36
  4. Step 4: Simplify right side
    3,959.69x = 7,046,385.20
  5. Step 5: Solve for x
    x = 7,046,385.20/3,959.69
  6. Step 6: Final answer
    x = 1,779.53

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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.