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Finding the Fourth Proportional to 5,493.58, 7,581.25 and 2,975.80

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Solution

The fourth proportional to 5,493.58, 7,581.25 and 2,975.80 is: 4,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.58 : 7,581.25 = 2,975.80 : x
  2. Step 2: Convert to fraction form
    5,493.58/7,581.25 = 2,975.80/x
  3. Step 3: Cross multiply
    5,493.58x = 7,581.25 × 2,975.80
  4. Step 4: Simplify right side
    5,493.58x = 22,560,276.65
  5. Step 5: Solve for x
    x = 22,560,276.65/5,493.58
  6. Step 6: Final answer
    x = 4,106.66

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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.