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Finding the Fourth Proportional to 4,968.97, 7,454.20 and 1,636.61

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Solution

The fourth proportional to 4,968.97, 7,454.20 and 1,636.61 is: 2,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.97 : 7,454.20 = 1,636.61 : x
  2. Step 2: Convert to fraction form
    4,968.97/7,454.20 = 1,636.61/x
  3. Step 3: Cross multiply
    4,968.97x = 7,454.20 × 1,636.61
  4. Step 4: Simplify right side
    4,968.97x = 12,199,588.09
  5. Step 5: Solve for x
    x = 12,199,588.09/4,968.97
  6. Step 6: Final answer
    x = 2,455.15

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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.