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Finding the Fourth Proportional to 6,285.78, 8,674.34 and 3,414.51

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Solution

The fourth proportional to 6,285.78, 8,674.34 and 3,414.51 is: 4,712.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.78 : 8,674.34 = 3,414.51 : x
  2. Step 2: Convert to fraction form
    6,285.78/8,674.34 = 3,414.51/x
  3. Step 3: Cross multiply
    6,285.78x = 8,674.34 × 3,414.51
  4. Step 4: Simplify right side
    6,285.78x = 29,618,620.67
  5. Step 5: Solve for x
    x = 29,618,620.67/6,285.78
  6. Step 6: Final answer
    x = 4,712.00

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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.