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Finding the Fourth Proportional to 3,238.16, 4,857.72 and 1,186

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Solution

The fourth proportional to 3,238.16, 4,857.72 and 1,186 is: 1,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.16 : 4,857.72 = 1,186 : x
  2. Step 2: Convert to fraction form
    3,238.16/4,857.72 = 1,186/x
  3. Step 3: Cross multiply
    3,238.16x = 4,857.72 × 1,186
  4. Step 4: Simplify right side
    3,238.16x = 5,761,255.92
  5. Step 5: Solve for x
    x = 5,761,255.92/3,238.16
  6. Step 6: Final answer
    x = 1,779.18

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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.