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Finding the Fourth Proportional to 3,175.60, 4,763.40 and 3,143.20

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Solution

The fourth proportional to 3,175.60, 4,763.40 and 3,143.20 is: 4,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.60 : 4,763.40 = 3,143.20 : x
  2. Step 2: Convert to fraction form
    3,175.60/4,763.40 = 3,143.20/x
  3. Step 3: Cross multiply
    3,175.60x = 4,763.40 × 3,143.20
  4. Step 4: Simplify right side
    3,175.60x = 14,972,318.88
  5. Step 5: Solve for x
    x = 14,972,318.88/3,175.60
  6. Step 6: Final answer
    x = 4,714.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.