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Finding the Fourth Proportional to 4,208.78, 6,305.08 and 2,354.27

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Solution

The fourth proportional to 4,208.78, 6,305.08 and 2,354.27 is: 3,526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.78 : 6,305.08 = 2,354.27 : x
  2. Step 2: Convert to fraction form
    4,208.78/6,305.08 = 2,354.27/x
  3. Step 3: Cross multiply
    4,208.78x = 6,305.08 × 2,354.27
  4. Step 4: Simplify right side
    4,208.78x = 14,843,852.05
  5. Step 5: Solve for x
    x = 14,843,852.05/4,208.78
  6. Step 6: Final answer
    x = 3,526.88

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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.