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Finding the Fourth Proportional to 3,530.33, 5,295.27 and 1,449.80

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Solution

The fourth proportional to 3,530.33, 5,295.27 and 1,449.80 is: 2,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.33 : 5,295.27 = 1,449.80 : x
  2. Step 2: Convert to fraction form
    3,530.33/5,295.27 = 1,449.80/x
  3. Step 3: Cross multiply
    3,530.33x = 5,295.27 × 1,449.80
  4. Step 4: Simplify right side
    3,530.33x = 7,677,048.72
  5. Step 5: Solve for x
    x = 7,677,048.72/3,530.33
  6. Step 6: Final answer
    x = 2,174.60

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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.