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Finding the Fourth Proportional to 3,954.83, 5,933.14 and 1,357.61

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Solution

The fourth proportional to 3,954.83, 5,933.14 and 1,357.61 is: 2,036.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.83 : 5,933.14 = 1,357.61 : x
  2. Step 2: Convert to fraction form
    3,954.83/5,933.14 = 1,357.61/x
  3. Step 3: Cross multiply
    3,954.83x = 5,933.14 × 1,357.61
  4. Step 4: Simplify right side
    3,954.83x = 8,054,890.20
  5. Step 5: Solve for x
    x = 8,054,890.20/3,954.83
  6. Step 6: Final answer
    x = 2,036.72

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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.