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Finding the Fourth Proportional to 3,238.64, 4,853.70 and 2,352.12

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Solution

The fourth proportional to 3,238.64, 4,853.70 and 2,352.12 is: 3,525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.64 : 4,853.70 = 2,352.12 : x
  2. Step 2: Convert to fraction form
    3,238.64/4,853.70 = 2,352.12/x
  3. Step 3: Cross multiply
    3,238.64x = 4,853.70 × 2,352.12
  4. Step 4: Simplify right side
    3,238.64x = 11,416,484.84
  5. Step 5: Solve for x
    x = 11,416,484.84/3,238.64
  6. Step 6: Final answer
    x = 3,525.09

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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.