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Finding the Fourth Proportional to 3,530.15, 5,295.05 and 1,449.64

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Solution

The fourth proportional to 3,530.15, 5,295.05 and 1,449.64 is: 2,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.15 : 5,295.05 = 1,449.64 : x
  2. Step 2: Convert to fraction form
    3,530.15/5,295.05 = 1,449.64/x
  3. Step 3: Cross multiply
    3,530.15x = 5,295.05 × 1,449.64
  4. Step 4: Simplify right side
    3,530.15x = 7,675,916.28
  5. Step 5: Solve for x
    x = 7,675,916.28/3,530.15
  6. Step 6: Final answer
    x = 2,174.39

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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.