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Finding the Fourth Proportional to 2,396.12, 3,597.16 and 1,571.82

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Solution

The fourth proportional to 2,396.12, 3,597.16 and 1,571.82 is: 2,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.12 : 3,597.16 = 1,571.82 : x
  2. Step 2: Convert to fraction form
    2,396.12/3,597.16 = 1,571.82/x
  3. Step 3: Cross multiply
    2,396.12x = 3,597.16 × 1,571.82
  4. Step 4: Simplify right side
    2,396.12x = 5,654,088.03
  5. Step 5: Solve for x
    x = 5,654,088.03/2,396.12
  6. Step 6: Final answer
    x = 2,359.68

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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.