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Finding the Fourth Proportional to 6,194.76, 8,549.32 and 3,400.80

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Solution

The fourth proportional to 6,194.76, 8,549.32 and 3,400.80 is: 4,693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.76 : 8,549.32 = 3,400.80 : x
  2. Step 2: Convert to fraction form
    6,194.76/8,549.32 = 3,400.80/x
  3. Step 3: Cross multiply
    6,194.76x = 8,549.32 × 3,400.80
  4. Step 4: Simplify right side
    6,194.76x = 29,074,527.46
  5. Step 5: Solve for x
    x = 29,074,527.46/6,194.76
  6. Step 6: Final answer
    x = 4,693.41

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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.