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Finding the Fourth Proportional to 3,175.29, 4,760.19 and 1,529.57

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Solution

The fourth proportional to 3,175.29, 4,760.19 and 1,529.57 is: 2,293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.29 : 4,760.19 = 1,529.57 : x
  2. Step 2: Convert to fraction form
    3,175.29/4,760.19 = 1,529.57/x
  3. Step 3: Cross multiply
    3,175.29x = 4,760.19 × 1,529.57
  4. Step 4: Simplify right side
    3,175.29x = 7,281,020.02
  5. Step 5: Solve for x
    x = 7,281,020.02/3,175.29
  6. Step 6: Final answer
    x = 2,293.03

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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.