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Finding the Fourth Proportional to 5,238.48, 7,858.64 and 1,727.52

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Solution

The fourth proportional to 5,238.48, 7,858.64 and 1,727.52 is: 2,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.48 : 7,858.64 = 1,727.52 : x
  2. Step 2: Convert to fraction form
    5,238.48/7,858.64 = 1,727.52/x
  3. Step 3: Cross multiply
    5,238.48x = 7,858.64 × 1,727.52
  4. Step 4: Simplify right side
    5,238.48x = 13,575,957.77
  5. Step 5: Solve for x
    x = 13,575,957.77/5,238.48
  6. Step 6: Final answer
    x = 2,591.58

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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.