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Finding the Fourth Proportional to 3,548.93, 5,323.90 and 1,209.60

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Solution

The fourth proportional to 3,548.93, 5,323.90 and 1,209.60 is: 1,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.93 : 5,323.90 = 1,209.60 : x
  2. Step 2: Convert to fraction form
    3,548.93/5,323.90 = 1,209.60/x
  3. Step 3: Cross multiply
    3,548.93x = 5,323.90 × 1,209.60
  4. Step 4: Simplify right side
    3,548.93x = 6,439,789.44
  5. Step 5: Solve for x
    x = 6,439,789.44/3,548.93
  6. Step 6: Final answer
    x = 1,814.57

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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.