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Finding the Fourth Proportional to 3,324.06, 4,986.06 and 1,102.86

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Solution

The fourth proportional to 3,324.06, 4,986.06 and 1,102.86 is: 1,654.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324.06 : 4,986.06 = 1,102.86 : x
  2. Step 2: Convert to fraction form
    3,324.06/4,986.06 = 1,102.86/x
  3. Step 3: Cross multiply
    3,324.06x = 4,986.06 × 1,102.86
  4. Step 4: Simplify right side
    3,324.06x = 5,498,926.13
  5. Step 5: Solve for x
    x = 5,498,926.13/3,324.06
  6. Step 6: Final answer
    x = 1,654.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.