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Finding the Fourth Proportional to 5,900.04, 8,144.10 and 3,804.84

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Solution

The fourth proportional to 5,900.04, 8,144.10 and 3,804.84 is: 5,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.04 : 8,144.10 = 3,804.84 : x
  2. Step 2: Convert to fraction form
    5,900.04/8,144.10 = 3,804.84/x
  3. Step 3: Cross multiply
    5,900.04x = 8,144.10 × 3,804.84
  4. Step 4: Simplify right side
    5,900.04x = 30,986,997.44
  5. Step 5: Solve for x
    x = 30,986,997.44/5,900.04
  6. Step 6: Final answer
    x = 5,252.00

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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.