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Finding the Fourth Proportional to 4,652.68, 6,976.32 and 3,093.56

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Solution

The fourth proportional to 4,652.68, 6,976.32 and 3,093.56 is: 4,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.68 : 6,976.32 = 3,093.56 : x
  2. Step 2: Convert to fraction form
    4,652.68/6,976.32 = 3,093.56/x
  3. Step 3: Cross multiply
    4,652.68x = 6,976.32 × 3,093.56
  4. Step 4: Simplify right side
    4,652.68x = 21,581,664.50
  5. Step 5: Solve for x
    x = 21,581,664.50/4,652.68
  6. Step 6: Final answer
    x = 4,638.54

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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.