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Finding the Fourth Proportional to 5,718.84, 7,891.62 and 3,200.84

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Solution

The fourth proportional to 5,718.84, 7,891.62 and 3,200.84 is: 4,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.84 : 7,891.62 = 3,200.84 : x
  2. Step 2: Convert to fraction form
    5,718.84/7,891.62 = 3,200.84/x
  3. Step 3: Cross multiply
    5,718.84x = 7,891.62 × 3,200.84
  4. Step 4: Simplify right side
    5,718.84x = 25,259,812.96
  5. Step 5: Solve for x
    x = 25,259,812.96/5,718.84
  6. Step 6: Final answer
    x = 4,416.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.