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Finding the Fourth Proportional to 3,645.14, 5,464.20 and 1,452.20

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Solution

The fourth proportional to 3,645.14, 5,464.20 and 1,452.20 is: 2,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.14 : 5,464.20 = 1,452.20 : x
  2. Step 2: Convert to fraction form
    3,645.14/5,464.20 = 1,452.20/x
  3. Step 3: Cross multiply
    3,645.14x = 5,464.20 × 1,452.20
  4. Step 4: Simplify right side
    3,645.14x = 7,935,111.24
  5. Step 5: Solve for x
    x = 7,935,111.24/3,645.14
  6. Step 6: Final answer
    x = 2,176.90

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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.