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Finding the Fourth Proportional to 5,238.43, 7,857.74 and 4,193.58

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Solution

The fourth proportional to 5,238.43, 7,857.74 and 4,193.58 is: 6,290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.43 : 7,857.74 = 4,193.58 : x
  2. Step 2: Convert to fraction form
    5,238.43/7,857.74 = 4,193.58/x
  3. Step 3: Cross multiply
    5,238.43x = 7,857.74 × 4,193.58
  4. Step 4: Simplify right side
    5,238.43x = 32,952,040.34
  5. Step 5: Solve for x
    x = 32,952,040.34/5,238.43
  6. Step 6: Final answer
    x = 6,290.45

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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.