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Finding the Fourth Proportional to 3,530.64, 5,295.96 and 1,450.29

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Solution

The fourth proportional to 3,530.64, 5,295.96 and 1,450.29 is: 2,175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.64 : 5,295.96 = 1,450.29 : x
  2. Step 2: Convert to fraction form
    3,530.64/5,295.96 = 1,450.29/x
  3. Step 3: Cross multiply
    3,530.64x = 5,295.96 × 1,450.29
  4. Step 4: Simplify right side
    3,530.64x = 7,680,677.83
  5. Step 5: Solve for x
    x = 7,680,677.83/3,530.64
  6. Step 6: Final answer
    x = 2,175.44

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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.