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Finding the Fourth Proportional to 4,678.33, 7,013.70 and 1,906.30

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Solution

The fourth proportional to 4,678.33, 7,013.70 and 1,906.30 is: 2,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.33 : 7,013.70 = 1,906.30 : x
  2. Step 2: Convert to fraction form
    4,678.33/7,013.70 = 1,906.30/x
  3. Step 3: Cross multiply
    4,678.33x = 7,013.70 × 1,906.30
  4. Step 4: Simplify right side
    4,678.33x = 13,370,216.31
  5. Step 5: Solve for x
    x = 13,370,216.31/4,678.33
  6. Step 6: Final answer
    x = 2,857.90

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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.