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Finding the Fourth Proportional to 4,753.44, 7,129.28 and 1,465.92

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Solution

The fourth proportional to 4,753.44, 7,129.28 and 1,465.92 is: 2,198.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.44 : 7,129.28 = 1,465.92 : x
  2. Step 2: Convert to fraction form
    4,753.44/7,129.28 = 1,465.92/x
  3. Step 3: Cross multiply
    4,753.44x = 7,129.28 × 1,465.92
  4. Step 4: Simplify right side
    4,753.44x = 10,450,954.14
  5. Step 5: Solve for x
    x = 10,450,954.14/4,753.44
  6. Step 6: Final answer
    x = 2,198.61

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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.