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Finding the Fourth Proportional to 3,098.50, 4,636.12 and 2,175.86

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Solution

The fourth proportional to 3,098.50, 4,636.12 and 2,175.86 is: 3,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.50 : 4,636.12 = 2,175.86 : x
  2. Step 2: Convert to fraction form
    3,098.50/4,636.12 = 2,175.86/x
  3. Step 3: Cross multiply
    3,098.50x = 4,636.12 × 2,175.86
  4. Step 4: Simplify right side
    3,098.50x = 10,087,548.06
  5. Step 5: Solve for x
    x = 10,087,548.06/3,098.50
  6. Step 6: Final answer
    x = 3,255.62

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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.