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Finding the Fourth Proportional to 4,902.14, 6,758.79 and 4,094.93

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Solution

The fourth proportional to 4,902.14, 6,758.79 and 4,094.93 is: 5,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.14 : 6,758.79 = 4,094.93 : x
  2. Step 2: Convert to fraction form
    4,902.14/6,758.79 = 4,094.93/x
  3. Step 3: Cross multiply
    4,902.14x = 6,758.79 × 4,094.93
  4. Step 4: Simplify right side
    4,902.14x = 27,676,771.93
  5. Step 5: Solve for x
    x = 27,676,771.93/4,902.14
  6. Step 6: Final answer
    x = 5,645.86

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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.