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Finding the Fourth Proportional to 5,175.70, 7,135.90 and 3,495.96

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Solution

The fourth proportional to 5,175.70, 7,135.90 and 3,495.96 is: 4,819.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.70 : 7,135.90 = 3,495.96 : x
  2. Step 2: Convert to fraction form
    5,175.70/7,135.90 = 3,495.96/x
  3. Step 3: Cross multiply
    5,175.70x = 7,135.90 × 3,495.96
  4. Step 4: Simplify right side
    5,175.70x = 24,946,812.22
  5. Step 5: Solve for x
    x = 24,946,812.22/5,175.70
  6. Step 6: Final answer
    x = 4,819.99

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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.