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Finding the Fourth Proportional to 4,482, 6,184.68 and 2,713.88

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Solution

The fourth proportional to 4,482, 6,184.68 and 2,713.88 is: 3,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482 : 6,184.68 = 2,713.88 : x
  2. Step 2: Convert to fraction form
    4,482/6,184.68 = 2,713.88/x
  3. Step 3: Cross multiply
    4,482x = 6,184.68 × 2,713.88
  4. Step 4: Simplify right side
    4,482x = 16,784,479.36
  5. Step 5: Solve for x
    x = 16,784,479.36/4,482
  6. Step 6: Final answer
    x = 3,744.86

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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.