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Finding the Fourth Proportional to 5,336.84, 8,007.90 and 2,414.84

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Solution

The fourth proportional to 5,336.84, 8,007.90 and 2,414.84 is: 3,623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.84 : 8,007.90 = 2,414.84 : x
  2. Step 2: Convert to fraction form
    5,336.84/8,007.90 = 2,414.84/x
  3. Step 3: Cross multiply
    5,336.84x = 8,007.90 × 2,414.84
  4. Step 4: Simplify right side
    5,336.84x = 19,337,797.24
  5. Step 5: Solve for x
    x = 19,337,797.24/5,336.84
  6. Step 6: Final answer
    x = 3,623.45

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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.