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Finding the Fourth Proportional to 5,827.02, 8,036 and 3,836.84

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Solution

The fourth proportional to 5,827.02, 8,036 and 3,836.84 is: 5,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.02 : 8,036 = 3,836.84 : x
  2. Step 2: Convert to fraction form
    5,827.02/8,036 = 3,836.84/x
  3. Step 3: Cross multiply
    5,827.02x = 8,036 × 3,836.84
  4. Step 4: Simplify right side
    5,827.02x = 30,832,846.24
  5. Step 5: Solve for x
    x = 30,832,846.24/5,827.02
  6. Step 6: Final answer
    x = 5,291.36

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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.