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Finding the Fourth Proportional to 4,322.12, 6,479.07 and 2,757.74

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Solution

The fourth proportional to 4,322.12, 6,479.07 and 2,757.74 is: 4,133.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.12 : 6,479.07 = 2,757.74 : x
  2. Step 2: Convert to fraction form
    4,322.12/6,479.07 = 2,757.74/x
  3. Step 3: Cross multiply
    4,322.12x = 6,479.07 × 2,757.74
  4. Step 4: Simplify right side
    4,322.12x = 17,867,590.50
  5. Step 5: Solve for x
    x = 17,867,590.50/4,322.12
  6. Step 6: Final answer
    x = 4,133.99

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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.