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Finding the Fourth Proportional to 4,425, 6,638.34 and 1,653.62

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Solution

The fourth proportional to 4,425, 6,638.34 and 1,653.62 is: 2,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425 : 6,638.34 = 1,653.62 : x
  2. Step 2: Convert to fraction form
    4,425/6,638.34 = 1,653.62/x
  3. Step 3: Cross multiply
    4,425x = 6,638.34 × 1,653.62
  4. Step 4: Simplify right side
    4,425x = 10,977,291.79
  5. Step 5: Solve for x
    x = 10,977,291.79/4,425
  6. Step 6: Final answer
    x = 2,480.74

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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.