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Finding the Fourth Proportional to 4,052, 5,591.76 and 2,189

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Solution

The fourth proportional to 4,052, 5,591.76 and 2,189 is: 3,020.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052 : 5,591.76 = 2,189 : x
  2. Step 2: Convert to fraction form
    4,052/5,591.76 = 2,189/x
  3. Step 3: Cross multiply
    4,052x = 5,591.76 × 2,189
  4. Step 4: Simplify right side
    4,052x = 12,240,362.64
  5. Step 5: Solve for x
    x = 12,240,362.64/4,052
  6. Step 6: Final answer
    x = 3,020.82

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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.