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Finding the Fourth Proportional to 3,817.35, 5,723.54 and 1,597.24

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Solution

The fourth proportional to 3,817.35, 5,723.54 and 1,597.24 is: 2,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.35 : 5,723.54 = 1,597.24 : x
  2. Step 2: Convert to fraction form
    3,817.35/5,723.54 = 1,597.24/x
  3. Step 3: Cross multiply
    3,817.35x = 5,723.54 × 1,597.24
  4. Step 4: Simplify right side
    3,817.35x = 9,141,867.03
  5. Step 5: Solve for x
    x = 9,141,867.03/3,817.35
  6. Step 6: Final answer
    x = 2,394.82

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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.