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Finding the Fourth Proportional to 5,239.31, 7,857.28 and 1,728.52

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Solution

The fourth proportional to 5,239.31, 7,857.28 and 1,728.52 is: 2,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.31 : 7,857.28 = 1,728.52 : x
  2. Step 2: Convert to fraction form
    5,239.31/7,857.28 = 1,728.52/x
  3. Step 3: Cross multiply
    5,239.31x = 7,857.28 × 1,728.52
  4. Step 4: Simplify right side
    5,239.31x = 13,581,465.63
  5. Step 5: Solve for x
    x = 13,581,465.63/5,239.31
  6. Step 6: Final answer
    x = 2,592.22

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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.