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Finding the Fourth Proportional to 5,336.40, 7,997.40 and 2,046.24

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Solution

The fourth proportional to 5,336.40, 7,997.40 and 2,046.24 is: 3,066.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.40 : 7,997.40 = 2,046.24 : x
  2. Step 2: Convert to fraction form
    5,336.40/7,997.40 = 2,046.24/x
  3. Step 3: Cross multiply
    5,336.40x = 7,997.40 × 2,046.24
  4. Step 4: Simplify right side
    5,336.40x = 16,364,599.78
  5. Step 5: Solve for x
    x = 16,364,599.78/5,336.40
  6. Step 6: Final answer
    x = 3,066.60

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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.