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Finding the Fourth Proportional to 6,124.57, 8,451.89 and 3,640.57

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Solution

The fourth proportional to 6,124.57, 8,451.89 and 3,640.57 is: 5,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.57 : 8,451.89 = 3,640.57 : x
  2. Step 2: Convert to fraction form
    6,124.57/8,451.89 = 3,640.57/x
  3. Step 3: Cross multiply
    6,124.57x = 8,451.89 × 3,640.57
  4. Step 4: Simplify right side
    6,124.57x = 30,769,697.18
  5. Step 5: Solve for x
    x = 30,769,697.18/6,124.57
  6. Step 6: Final answer
    x = 5,023.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.