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Finding the Fourth Proportional to 4,657.44, 6,984.96 and 1,536.96

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Solution

The fourth proportional to 4,657.44, 6,984.96 and 1,536.96 is: 2,305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.44 : 6,984.96 = 1,536.96 : x
  2. Step 2: Convert to fraction form
    4,657.44/6,984.96 = 1,536.96/x
  3. Step 3: Cross multiply
    4,657.44x = 6,984.96 × 1,536.96
  4. Step 4: Simplify right side
    4,657.44x = 10,735,604.12
  5. Step 5: Solve for x
    x = 10,735,604.12/4,657.44
  6. Step 6: Final answer
    x = 2,305.04

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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.