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Finding the Fourth Proportional to 4,842.05, 6,682.30 and 3,661.07

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Solution

The fourth proportional to 4,842.05, 6,682.30 and 3,661.07 is: 5,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.05 : 6,682.30 = 3,661.07 : x
  2. Step 2: Convert to fraction form
    4,842.05/6,682.30 = 3,661.07/x
  3. Step 3: Cross multiply
    4,842.05x = 6,682.30 × 3,661.07
  4. Step 4: Simplify right side
    4,842.05x = 24,464,325.50
  5. Step 5: Solve for x
    x = 24,464,325.50/4,842.05
  6. Step 6: Final answer
    x = 5,052.48

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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.