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Finding the Fourth Proportional to 4,953.21, 6,835.22 and 2,964.86

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Solution

The fourth proportional to 4,953.21, 6,835.22 and 2,964.86 is: 4,091.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.21 : 6,835.22 = 2,964.86 : x
  2. Step 2: Convert to fraction form
    4,953.21/6,835.22 = 2,964.86/x
  3. Step 3: Cross multiply
    4,953.21x = 6,835.22 × 2,964.86
  4. Step 4: Simplify right side
    4,953.21x = 20,265,470.37
  5. Step 5: Solve for x
    x = 20,265,470.37/4,953.21
  6. Step 6: Final answer
    x = 4,091.38

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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.