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Finding the Fourth Proportional to 3,776.80, 5,213.28 and 2,601.76

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Solution

The fourth proportional to 3,776.80, 5,213.28 and 2,601.76 is: 3,591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.80 : 5,213.28 = 2,601.76 : x
  2. Step 2: Convert to fraction form
    3,776.80/5,213.28 = 2,601.76/x
  3. Step 3: Cross multiply
    3,776.80x = 5,213.28 × 2,601.76
  4. Step 4: Simplify right side
    3,776.80x = 13,563,703.37
  5. Step 5: Solve for x
    x = 13,563,703.37/3,776.80
  6. Step 6: Final answer
    x = 3,591.32

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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.