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Finding the Fourth Proportional to 4,273, 5,896.80 and 2,617

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Solution

The fourth proportional to 4,273, 5,896.80 and 2,617 is: 3,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273 : 5,896.80 = 2,617 : x
  2. Step 2: Convert to fraction form
    4,273/5,896.80 = 2,617/x
  3. Step 3: Cross multiply
    4,273x = 5,896.80 × 2,617
  4. Step 4: Simplify right side
    4,273x = 15,431,925.60
  5. Step 5: Solve for x
    x = 15,431,925.60/4,273
  6. Step 6: Final answer
    x = 3,611.50

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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.