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Finding the Fourth Proportional to 6,292.86, 8,684.06 and 3,640.52

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Solution

The fourth proportional to 6,292.86, 8,684.06 and 3,640.52 is: 5,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.86 : 8,684.06 = 3,640.52 : x
  2. Step 2: Convert to fraction form
    6,292.86/8,684.06 = 3,640.52/x
  3. Step 3: Cross multiply
    6,292.86x = 8,684.06 × 3,640.52
  4. Step 4: Simplify right side
    6,292.86x = 31,614,432.49
  5. Step 5: Solve for x
    x = 31,614,432.49/6,292.86
  6. Step 6: Final answer
    x = 5,023.86

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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.