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Finding the Fourth Proportional to 4,724.92, 7,087.26 and 1,437.88

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Solution

The fourth proportional to 4,724.92, 7,087.26 and 1,437.88 is: 2,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.92 : 7,087.26 = 1,437.88 : x
  2. Step 2: Convert to fraction form
    4,724.92/7,087.26 = 1,437.88/x
  3. Step 3: Cross multiply
    4,724.92x = 7,087.26 × 1,437.88
  4. Step 4: Simplify right side
    4,724.92x = 10,190,629.41
  5. Step 5: Solve for x
    x = 10,190,629.41/4,724.92
  6. Step 6: Final answer
    x = 2,156.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.