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Finding the Fourth Proportional to 3,175.60, 4,763.90 and 1,096.12

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Solution

The fourth proportional to 3,175.60, 4,763.90 and 1,096.12 is: 1,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.60 : 4,763.90 = 1,096.12 : x
  2. Step 2: Convert to fraction form
    3,175.60/4,763.90 = 1,096.12/x
  3. Step 3: Cross multiply
    3,175.60x = 4,763.90 × 1,096.12
  4. Step 4: Simplify right side
    3,175.60x = 5,221,800.59
  5. Step 5: Solve for x
    x = 5,221,800.59/3,175.60
  6. Step 6: Final answer
    x = 1,644.35

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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.