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Finding the Fourth Proportional to 6,199.84, 8,552.00 and 3,680.24

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Solution

The fourth proportional to 6,199.84, 8,552.00 and 3,680.24 is: 5,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.84 : 8,552.00 = 3,680.24 : x
  2. Step 2: Convert to fraction form
    6,199.84/8,552.00 = 3,680.24/x
  3. Step 3: Cross multiply
    6,199.84x = 8,552.00 × 3,680.24
  4. Step 4: Simplify right side
    6,199.84x = 31,473,394.08
  5. Step 5: Solve for x
    x = 31,473,394.08/6,199.84
  6. Step 6: Final answer
    x = 5,076.49

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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.