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Finding the Fourth Proportional to 4,606.50, 6,909.50 and 1,486.46

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Solution

The fourth proportional to 4,606.50, 6,909.50 and 1,486.46 is: 2,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.50 : 6,909.50 = 1,486.46 : x
  2. Step 2: Convert to fraction form
    4,606.50/6,909.50 = 1,486.46/x
  3. Step 3: Cross multiply
    4,606.50x = 6,909.50 × 1,486.46
  4. Step 4: Simplify right side
    4,606.50x = 10,270,695.37
  5. Step 5: Solve for x
    x = 10,270,695.37/4,606.50
  6. Step 6: Final answer
    x = 2,229.61

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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.