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Finding the Fourth Proportional to 3,857.46, 5,793.24 and 3,532.14

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Solution

The fourth proportional to 3,857.46, 5,793.24 and 3,532.14 is: 5,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.46 : 5,793.24 = 3,532.14 : x
  2. Step 2: Convert to fraction form
    3,857.46/5,793.24 = 3,532.14/x
  3. Step 3: Cross multiply
    3,857.46x = 5,793.24 × 3,532.14
  4. Step 4: Simplify right side
    3,857.46x = 20,462,547.98
  5. Step 5: Solve for x
    x = 20,462,547.98/3,857.46
  6. Step 6: Final answer
    x = 5,304.67

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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.