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Finding the Fourth Proportional to 4,488, 6,194.16 and 2,624.64

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Solution

The fourth proportional to 4,488, 6,194.16 and 2,624.64 is: 3,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488 : 6,194.16 = 2,624.64 : x
  2. Step 2: Convert to fraction form
    4,488/6,194.16 = 2,624.64/x
  3. Step 3: Cross multiply
    4,488x = 6,194.16 × 2,624.64
  4. Step 4: Simplify right side
    4,488x = 16,257,440.10
  5. Step 5: Solve for x
    x = 16,257,440.10/4,488
  6. Step 6: Final answer
    x = 3,622.42

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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.