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Finding the Fourth Proportional to 5,725.80, 8,594.10 and 3,538.80

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Solution

The fourth proportional to 5,725.80, 8,594.10 and 3,538.80 is: 5,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.80 : 8,594.10 = 3,538.80 : x
  2. Step 2: Convert to fraction form
    5,725.80/8,594.10 = 3,538.80/x
  3. Step 3: Cross multiply
    5,725.80x = 8,594.10 × 3,538.80
  4. Step 4: Simplify right side
    5,725.80x = 30,412,801.08
  5. Step 5: Solve for x
    x = 30,412,801.08/5,725.80
  6. Step 6: Final answer
    x = 5,311.54

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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.