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Finding the Fourth Proportional to 4,494.47, 6,744.30 and 1,861.50

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Solution

The fourth proportional to 4,494.47, 6,744.30 and 1,861.50 is: 2,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.47 : 6,744.30 = 1,861.50 : x
  2. Step 2: Convert to fraction form
    4,494.47/6,744.30 = 1,861.50/x
  3. Step 3: Cross multiply
    4,494.47x = 6,744.30 × 1,861.50
  4. Step 4: Simplify right side
    4,494.47x = 12,554,494.82
  5. Step 5: Solve for x
    x = 12,554,494.82/4,494.47
  6. Step 6: Final answer
    x = 2,793.32

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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.