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Finding the Fourth Proportional to 4,200.84, 5,796.09 and 2,803.86

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Solution

The fourth proportional to 4,200.84, 5,796.09 and 2,803.86 is: 3,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.84 : 5,796.09 = 2,803.86 : x
  2. Step 2: Convert to fraction form
    4,200.84/5,796.09 = 2,803.86/x
  3. Step 3: Cross multiply
    4,200.84x = 5,796.09 × 2,803.86
  4. Step 4: Simplify right side
    4,200.84x = 16,251,424.91
  5. Step 5: Solve for x
    x = 16,251,424.91/4,200.84
  6. Step 6: Final answer
    x = 3,868.61

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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.