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Finding the Fourth Proportional to 5,548.42, 8,323.02 and 2,263.06

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Solution

The fourth proportional to 5,548.42, 8,323.02 and 2,263.06 is: 3,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.42 : 8,323.02 = 2,263.06 : x
  2. Step 2: Convert to fraction form
    5,548.42/8,323.02 = 2,263.06/x
  3. Step 3: Cross multiply
    5,548.42x = 8,323.02 × 2,263.06
  4. Step 4: Simplify right side
    5,548.42x = 18,835,493.64
  5. Step 5: Solve for x
    x = 18,835,493.64/5,548.42
  6. Step 6: Final answer
    x = 3,394.75

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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.