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Finding the Fourth Proportional to 6,548.85, 9,040.21 and 3,896.51

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Solution

The fourth proportional to 6,548.85, 9,040.21 and 3,896.51 is: 5,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.85 : 9,040.21 = 3,896.51 : x
  2. Step 2: Convert to fraction form
    6,548.85/9,040.21 = 3,896.51/x
  3. Step 3: Cross multiply
    6,548.85x = 9,040.21 × 3,896.51
  4. Step 4: Simplify right side
    6,548.85x = 35,225,213.72
  5. Step 5: Solve for x
    x = 35,225,213.72/6,548.85
  6. Step 6: Final answer
    x = 5,378.84

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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.