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Finding the Fourth Proportional to 6,194.84, 8,548.54 and 3,400.12

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Solution

The fourth proportional to 6,194.84, 8,548.54 and 3,400.12 is: 4,691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.84 : 8,548.54 = 3,400.12 : x
  2. Step 2: Convert to fraction form
    6,194.84/8,548.54 = 3,400.12/x
  3. Step 3: Cross multiply
    6,194.84x = 8,548.54 × 3,400.12
  4. Step 4: Simplify right side
    6,194.84x = 29,066,061.82
  5. Step 5: Solve for x
    x = 29,066,061.82/6,194.84
  6. Step 6: Final answer
    x = 4,691.98

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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.