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Finding the Fourth Proportional to 6,197.96, 8,549.40 and 3,678.38

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Solution

The fourth proportional to 6,197.96, 8,549.40 and 3,678.38 is: 5,073.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.96 : 8,549.40 = 3,678.38 : x
  2. Step 2: Convert to fraction form
    6,197.96/8,549.40 = 3,678.38/x
  3. Step 3: Cross multiply
    6,197.96x = 8,549.40 × 3,678.38
  4. Step 4: Simplify right side
    6,197.96x = 31,447,941.97
  5. Step 5: Solve for x
    x = 31,447,941.97/6,197.96
  6. Step 6: Final answer
    x = 5,073.92

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Why These Related Problems?

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