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Finding the Fourth Proportional to 3,645.02, 5,464.10 and 2,754.19

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Solution

The fourth proportional to 3,645.02, 5,464.10 and 2,754.19 is: 4,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.02 : 5,464.10 = 2,754.19 : x
  2. Step 2: Convert to fraction form
    3,645.02/5,464.10 = 2,754.19/x
  3. Step 3: Cross multiply
    3,645.02x = 5,464.10 × 2,754.19
  4. Step 4: Simplify right side
    3,645.02x = 15,049,162.80
  5. Step 5: Solve for x
    x = 15,049,162.80/3,645.02
  6. Step 6: Final answer
    x = 4,128.69

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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.