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Finding the Fourth Proportional to 3,253.94, 4,485.76 and 2,320.82

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Solution

The fourth proportional to 3,253.94, 4,485.76 and 2,320.82 is: 3,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.94 : 4,485.76 = 2,320.82 : x
  2. Step 2: Convert to fraction form
    3,253.94/4,485.76 = 2,320.82/x
  3. Step 3: Cross multiply
    3,253.94x = 4,485.76 × 2,320.82
  4. Step 4: Simplify right side
    3,253.94x = 10,410,619.09
  5. Step 5: Solve for x
    x = 10,410,619.09/3,253.94
  6. Step 6: Final answer
    x = 3,199.39

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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.