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Finding the Fourth Proportional to 3,959.34, 5,939.07 and 1,186.17

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Solution

The fourth proportional to 3,959.34, 5,939.07 and 1,186.17 is: 1,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.34 : 5,939.07 = 1,186.17 : x
  2. Step 2: Convert to fraction form
    3,959.34/5,939.07 = 1,186.17/x
  3. Step 3: Cross multiply
    3,959.34x = 5,939.07 × 1,186.17
  4. Step 4: Simplify right side
    3,959.34x = 7,044,746.66
  5. Step 5: Solve for x
    x = 7,044,746.66/3,959.34
  6. Step 6: Final answer
    x = 1,779.27

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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.