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Finding the Fourth Proportional to 6,103.49, 8,421.45 and 3,978.83

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Solution

The fourth proportional to 6,103.49, 8,421.45 and 3,978.83 is: 5,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.49 : 8,421.45 = 3,978.83 : x
  2. Step 2: Convert to fraction form
    6,103.49/8,421.45 = 3,978.83/x
  3. Step 3: Cross multiply
    6,103.49x = 8,421.45 × 3,978.83
  4. Step 4: Simplify right side
    6,103.49x = 33,507,475.80
  5. Step 5: Solve for x
    x = 33,507,475.80/6,103.49
  6. Step 6: Final answer
    x = 5,489.89

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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.