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Finding the Fourth Proportional to 4,235.78, 6,355.49 and 2,046.14

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Solution

The fourth proportional to 4,235.78, 6,355.49 and 2,046.14 is: 3,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.78 : 6,355.49 = 2,046.14 : x
  2. Step 2: Convert to fraction form
    4,235.78/6,355.49 = 2,046.14/x
  3. Step 3: Cross multiply
    4,235.78x = 6,355.49 × 2,046.14
  4. Step 4: Simplify right side
    4,235.78x = 13,004,227.97
  5. Step 5: Solve for x
    x = 13,004,227.97/4,235.78
  6. Step 6: Final answer
    x = 3,070.09

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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.