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Finding the Fourth Proportional to 3,548.16, 5,321.84 and 951.28

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Solution

The fourth proportional to 3,548.16, 5,321.84 and 951.28 is: 1,426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.16 : 5,321.84 = 951.28 : x
  2. Step 2: Convert to fraction form
    3,548.16/5,321.84 = 951.28/x
  3. Step 3: Cross multiply
    3,548.16x = 5,321.84 × 951.28
  4. Step 4: Simplify right side
    3,548.16x = 5,062,559.96
  5. Step 5: Solve for x
    x = 5,062,559.96/3,548.16
  6. Step 6: Final answer
    x = 1,426.81

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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.