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Finding the Fourth Proportional to 3,530.94, 5,296.41 and 1,450.55

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Solution

The fourth proportional to 3,530.94, 5,296.41 and 1,450.55 is: 2,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.94 : 5,296.41 = 1,450.55 : x
  2. Step 2: Convert to fraction form
    3,530.94/5,296.41 = 1,450.55/x
  3. Step 3: Cross multiply
    3,530.94x = 5,296.41 × 1,450.55
  4. Step 4: Simplify right side
    3,530.94x = 7,682,681.04
  5. Step 5: Solve for x
    x = 7,682,681.04/3,530.94
  6. Step 6: Final answer
    x = 2,175.82

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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.