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Finding the Fourth Proportional to 4,678.91, 6,984.09 and 4,125.33

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Solution

The fourth proportional to 4,678.91, 6,984.09 and 4,125.33 is: 6,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.91 : 6,984.09 = 4,125.33 : x
  2. Step 2: Convert to fraction form
    4,678.91/6,984.09 = 4,125.33/x
  3. Step 3: Cross multiply
    4,678.91x = 6,984.09 × 4,125.33
  4. Step 4: Simplify right side
    4,678.91x = 28,811,676.00
  5. Step 5: Solve for x
    x = 28,811,676.00/4,678.91
  6. Step 6: Final answer
    x = 6,157.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.