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Finding the Fourth Proportional to 5,175.70, 7,142.58 and 2,817.96

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Solution

The fourth proportional to 5,175.70, 7,142.58 and 2,817.96 is: 3,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.70 : 7,142.58 = 2,817.96 : x
  2. Step 2: Convert to fraction form
    5,175.70/7,142.58 = 2,817.96/x
  3. Step 3: Cross multiply
    5,175.70x = 7,142.58 × 2,817.96
  4. Step 4: Simplify right side
    5,175.70x = 20,127,504.74
  5. Step 5: Solve for x
    x = 20,127,504.74/5,175.70
  6. Step 6: Final answer
    x = 3,888.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.