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Finding the Fourth Proportional to 4,076.16, 6,099.12 and 2,433.84

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Solution

The fourth proportional to 4,076.16, 6,099.12 and 2,433.84 is: 3,641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.16 : 6,099.12 = 2,433.84 : x
  2. Step 2: Convert to fraction form
    4,076.16/6,099.12 = 2,433.84/x
  3. Step 3: Cross multiply
    4,076.16x = 6,099.12 × 2,433.84
  4. Step 4: Simplify right side
    4,076.16x = 14,844,282.22
  5. Step 5: Solve for x
    x = 14,844,282.22/4,076.16
  6. Step 6: Final answer
    x = 3,641.73

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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.