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Finding the Fourth Proportional to 4,181.64, 5,764.50 and 3,295.68

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Solution

The fourth proportional to 4,181.64, 5,764.50 and 3,295.68 is: 4,543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.64 : 5,764.50 = 3,295.68 : x
  2. Step 2: Convert to fraction form
    4,181.64/5,764.50 = 3,295.68/x
  3. Step 3: Cross multiply
    4,181.64x = 5,764.50 × 3,295.68
  4. Step 4: Simplify right side
    4,181.64x = 18,997,947.36
  5. Step 5: Solve for x
    x = 18,997,947.36/4,181.64
  6. Step 6: Final answer
    x = 4,543.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.