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Finding the Fourth Proportional to 3,175.53, 4,763.31 and 1,723.89

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Solution

The fourth proportional to 3,175.53, 4,763.31 and 1,723.89 is: 2,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.53 : 4,763.31 = 1,723.89 : x
  2. Step 2: Convert to fraction form
    3,175.53/4,763.31 = 1,723.89/x
  3. Step 3: Cross multiply
    3,175.53x = 4,763.31 × 1,723.89
  4. Step 4: Simplify right side
    3,175.53x = 8,211,422.48
  5. Step 5: Solve for x
    x = 8,211,422.48/3,175.53
  6. Step 6: Final answer
    x = 2,585.84

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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.