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Finding the Fourth Proportional to 4,906.07, 7,349.07 and 4,081.69

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Solution

The fourth proportional to 4,906.07, 7,349.07 and 4,081.69 is: 6,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.07 : 7,349.07 = 4,081.69 : x
  2. Step 2: Convert to fraction form
    4,906.07/7,349.07 = 4,081.69/x
  3. Step 3: Cross multiply
    4,906.07x = 7,349.07 × 4,081.69
  4. Step 4: Simplify right side
    4,906.07x = 29,996,588.78
  5. Step 5: Solve for x
    x = 29,996,588.78/4,906.07
  6. Step 6: Final answer
    x = 6,114.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.