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Finding the Fourth Proportional to 5,727, 8,591.58 and 1,623

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Solution

The fourth proportional to 5,727, 8,591.58 and 1,623 is: 2,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727 : 8,591.58 = 1,623 : x
  2. Step 2: Convert to fraction form
    5,727/8,591.58 = 1,623/x
  3. Step 3: Cross multiply
    5,727x = 8,591.58 × 1,623
  4. Step 4: Simplify right side
    5,727x = 13,944,134.34
  5. Step 5: Solve for x
    x = 13,944,134.34/5,727
  6. Step 6: Final answer
    x = 2,434.81

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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.