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Finding the Fourth Proportional to 5,723.47, 8,574.31 and 3,259.99

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Solution

The fourth proportional to 5,723.47, 8,574.31 and 3,259.99 is: 4,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.47 : 8,574.31 = 3,259.99 : x
  2. Step 2: Convert to fraction form
    5,723.47/8,574.31 = 3,259.99/x
  3. Step 3: Cross multiply
    5,723.47x = 8,574.31 × 3,259.99
  4. Step 4: Simplify right side
    5,723.47x = 27,952,164.86
  5. Step 5: Solve for x
    x = 27,952,164.86/5,723.47
  6. Step 6: Final answer
    x = 4,883.78

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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.