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Finding the Fourth Proportional to 4,104.86, 6,142.70 and 3,006.50

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Solution

The fourth proportional to 4,104.86, 6,142.70 and 3,006.50 is: 4,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104.86 : 6,142.70 = 3,006.50 : x
  2. Step 2: Convert to fraction form
    4,104.86/6,142.70 = 3,006.50/x
  3. Step 3: Cross multiply
    4,104.86x = 6,142.70 × 3,006.50
  4. Step 4: Simplify right side
    4,104.86x = 18,468,027.55
  5. Step 5: Solve for x
    x = 18,468,027.55/4,104.86
  6. Step 6: Final answer
    x = 4,499.06

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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.