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Finding the Fourth Proportional to 4,296, 5,928.48 and 2,433

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Solution

The fourth proportional to 4,296, 5,928.48 and 2,433 is: 3,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296 : 5,928.48 = 2,433 : x
  2. Step 2: Convert to fraction form
    4,296/5,928.48 = 2,433/x
  3. Step 3: Cross multiply
    4,296x = 5,928.48 × 2,433
  4. Step 4: Simplify right side
    4,296x = 14,423,991.84
  5. Step 5: Solve for x
    x = 14,423,991.84/4,296
  6. Step 6: Final answer
    x = 3,357.54

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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.