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Finding the Fourth Proportional to 4,965.68, 7,446.48 and 1,845.88

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Solution

The fourth proportional to 4,965.68, 7,446.48 and 1,845.88 is: 2,768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.68 : 7,446.48 = 1,845.88 : x
  2. Step 2: Convert to fraction form
    4,965.68/7,446.48 = 1,845.88/x
  3. Step 3: Cross multiply
    4,965.68x = 7,446.48 × 1,845.88
  4. Step 4: Simplify right side
    4,965.68x = 13,745,308.50
  5. Step 5: Solve for x
    x = 13,745,308.50/4,965.68
  6. Step 6: Final answer
    x = 2,768.06

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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.