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Finding the Fourth Proportional to 3,086.31, 4,631.31 and 1,139.88

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Solution

The fourth proportional to 3,086.31, 4,631.31 and 1,139.88 is: 1,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.31 : 4,631.31 = 1,139.88 : x
  2. Step 2: Convert to fraction form
    3,086.31/4,631.31 = 1,139.88/x
  3. Step 3: Cross multiply
    3,086.31x = 4,631.31 × 1,139.88
  4. Step 4: Simplify right side
    3,086.31x = 5,279,137.64
  5. Step 5: Solve for x
    x = 5,279,137.64/3,086.31
  6. Step 6: Final answer
    x = 1,710.50

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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.