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Finding the Fourth Proportional to 5,238.08, 7,857.12 and 1,342.48

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Solution

The fourth proportional to 5,238.08, 7,857.12 and 1,342.48 is: 2,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.08 : 7,857.12 = 1,342.48 : x
  2. Step 2: Convert to fraction form
    5,238.08/7,857.12 = 1,342.48/x
  3. Step 3: Cross multiply
    5,238.08x = 7,857.12 × 1,342.48
  4. Step 4: Simplify right side
    5,238.08x = 10,548,026.46
  5. Step 5: Solve for x
    x = 10,548,026.46/5,238.08
  6. Step 6: Final answer
    x = 2,013.72

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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.