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Finding the Fourth Proportional to 5,100.57, 7,643.97 and 3,864.11

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Solution

The fourth proportional to 5,100.57, 7,643.97 and 3,864.11 is: 5,790.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.57 : 7,643.97 = 3,864.11 : x
  2. Step 2: Convert to fraction form
    5,100.57/7,643.97 = 3,864.11/x
  3. Step 3: Cross multiply
    5,100.57x = 7,643.97 × 3,864.11
  4. Step 4: Simplify right side
    5,100.57x = 29,537,102.70
  5. Step 5: Solve for x
    x = 29,537,102.70/5,100.57
  6. Step 6: Final answer
    x = 5,790.94

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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.