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Finding the Fourth Proportional to 3,219.46, 4,829.22 and 1,139

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Solution

The fourth proportional to 3,219.46, 4,829.22 and 1,139 is: 1,708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.46 : 4,829.22 = 1,139 : x
  2. Step 2: Convert to fraction form
    3,219.46/4,829.22 = 1,139/x
  3. Step 3: Cross multiply
    3,219.46x = 4,829.22 × 1,139
  4. Step 4: Simplify right side
    3,219.46x = 5,500,481.58
  5. Step 5: Solve for x
    x = 5,500,481.58/3,219.46
  6. Step 6: Final answer
    x = 1,708.51

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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.