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Finding the Fourth Proportional to 6,323.86, 8,726.88 and 3,491.24

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Solution

The fourth proportional to 6,323.86, 8,726.88 and 3,491.24 is: 4,817.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.86 : 8,726.88 = 3,491.24 : x
  2. Step 2: Convert to fraction form
    6,323.86/8,726.88 = 3,491.24/x
  3. Step 3: Cross multiply
    6,323.86x = 8,726.88 × 3,491.24
  4. Step 4: Simplify right side
    6,323.86x = 30,467,632.53
  5. Step 5: Solve for x
    x = 30,467,632.53/6,323.86
  6. Step 6: Final answer
    x = 4,817.89

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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.