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Finding the Fourth Proportional to 3,450.54, 5,175.86 and 1,810.29

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Solution

The fourth proportional to 3,450.54, 5,175.86 and 1,810.29 is: 2,715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.54 : 5,175.86 = 1,810.29 : x
  2. Step 2: Convert to fraction form
    3,450.54/5,175.86 = 1,810.29/x
  3. Step 3: Cross multiply
    3,450.54x = 5,175.86 × 1,810.29
  4. Step 4: Simplify right side
    3,450.54x = 9,369,798.55
  5. Step 5: Solve for x
    x = 9,369,798.55/3,450.54
  6. Step 6: Final answer
    x = 2,715.46

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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.