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Finding the Fourth Proportional to 4,107, 6,160.50 and 1,335.99

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Solution

The fourth proportional to 4,107, 6,160.50 and 1,335.99 is: 2,003.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107 : 6,160.50 = 1,335.99 : x
  2. Step 2: Convert to fraction form
    4,107/6,160.50 = 1,335.99/x
  3. Step 3: Cross multiply
    4,107x = 6,160.50 × 1,335.99
  4. Step 4: Simplify right side
    4,107x = 8,230,366.40
  5. Step 5: Solve for x
    x = 8,230,366.40/4,107
  6. Step 6: Final answer
    x = 2,003.99

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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.