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Finding the Fourth Proportional to 3,536.46, 5,304.69 and 1,455.93

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Solution

The fourth proportional to 3,536.46, 5,304.69 and 1,455.93 is: 2,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.46 : 5,304.69 = 1,455.93 : x
  2. Step 2: Convert to fraction form
    3,536.46/5,304.69 = 1,455.93/x
  3. Step 3: Cross multiply
    3,536.46x = 5,304.69 × 1,455.93
  4. Step 4: Simplify right side
    3,536.46x = 7,723,257.31
  5. Step 5: Solve for x
    x = 7,723,257.31/3,536.46
  6. Step 6: Final answer
    x = 2,183.90

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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.